PR.6A, SEC 3, unit conversions (50)

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

🔥 Great work! 🎯

Pro-tip! 🔍

Choose units: set x as input and y as output.

Either choice works if you stay consistent.

Find k with k = output ÷ input from the given pair.

Use y = kx to get the value asked for.

Sketch a tiny two-column table (x = input, y = output) to track given and target.

Extra tip. Turning it into a number machine makes linking inputs and outputs quicker.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.

Hint

💡 Direct-proportion conversions made simple.

Model the conversion with y = kx.

Pick which unit is input x and which is output y.

Either choice works if you stay consistent.

x (input) ──▶ [ × k ] ──▶ y (output)

Find k with output ÷ input.

Start with input and want output? Multiply by k.

Start with output and want input? Divide by k.

Draw a tiny two-column table like this to organise given and target values.

Example (just an example).

3 miles ≈ 5 kilometres with x = miles and y = kilometres.

x (miles) ──▶ [ × k ] ──▶ y (km)

k = y ÷ x = 5 ÷ 3 in this example.

Same steps work for any units.

Always use k = output ÷ input, no matter which number is bigger.