Complete the following table, given that x varies directly as y.

x 2.5 ... ... 15

y 5 8 12 ...

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Solution

We know k = x/y

2.5/5 = x₁/8

By cross-multiplying

8(2.5) = 5×1

20 = 5x₁

x₁ = 20/5

= 4
( 1 mark )

We know k = x/y

4/8 = x₂/12

By cross-multiplying

12(4) = 8x₂

48 = 8x₂

x₂ = 48/8

= 6
( 1 mark )

We know k = x/y

6/12 = 15/y₁

By cross-multiplying

6y₁ = 15(12)

6y₁ = 180

y₁ = 180/6

= 30
( 1 mark )

x 2.5 4 6 15

y 5 8 12 30

( 1 mark )

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