Ratio, proportion and rates of changeKey Stage 3

Recognising inverse proportion from a table

Use a constant product to recognise inverse proportion.

  • In inverse proportion, is constant.
  • Use , where is a constant.

Example 1

Are and inversely proportional? Give a reason.

Swap the two sides to put the subject first.Swap the two sides to put the subject first.Swap the two sides to put the subject first.
Yes

The products are constant.

Example 2

Are and inversely proportional? Give a reason.

Swap the two sides to put the subject first.Swap the two sides to put the subject first.Apply this to both sides.
No

The products are not all equal.

Your turn

Question 1

Are and inversely proportional? Give a reason.

Check answer
Swap the two sides to put the subject first.Swap the two sides to put the subject first.Swap the two sides to put the subject first.
Yes

The products are constant.

Question 2

Are and inversely proportional? Give a reason.

Check answer
Swap the two sides to put the subject first.Swap the two sides to put the subject first.Apply this to both sides.
No

The products are not all equal.

Question 3

Are and inversely proportional? Give a reason.

Check answer
Swap the two sides to put the subject first.Swap the two sides to put the subject first.Swap the two sides to put the subject first.
Yes

The products are constant.

Question 4

Are and inversely proportional? Give a reason.

Check answer
Swap the two sides to put the subject first.Swap the two sides to put the subject first.Apply this to both sides.
No

The products are not all equal.

Question 5

Are and inversely proportional? Give a reason.

Check answer
Swap the two sides to put the subject first.Swap the two sides to put the subject first.Swap the two sides to put the subject first.
Yes

The products are constant.

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