Direct proportion refers to the relationship between two variables where one goes up as the other goes up.

With **indirect or inverse proportion** **one goes up as the other one goes down.**

**Recap from Direct Proportion**

Given that **A** is directly proportional to **B** and that A = 19 when B = 133.

**Find:**

(i) a formula connecting A and B

(ii) the value of A when B = 13

**Answer**

A ∝ B

So, A = K B

(i) Given A = 19 when B = 133

133 = 19K

K = 133 ÷ 19

K = 7

Therefore, the formula is **A = 7B**

(ii) When B = 13

A = 7 x B

A = 7 x 13

**A = 91**

Indirect proportion is the same working but the start is different!

Let's look at a question to help with this!

__Example__

Given that **A** is **indirectly **proportional to **B** and that A = 4 when B = 5.

Find:

(i) a formula connecting A and B

(ii) the value of A when B = 2

**Answer**

A ∝ 1 ÷ B

So, A = K ÷ B

(i) Given A = 4 when B = 5

4 = K ÷ 5

Multiply through by 5

K = 4 x 5

K = 20

Therefore, the formula is **A = 20 ÷ B**

(ii) When B = 2,

A = 20 ÷ 2

**A = 10**

It's useful to have paper and a pencil in order to record your own workings.

These are not the kind of questions you can calculate mentally.

You can look back at this introduction at any point by clicking on the red help button on the screen.