Question

A quantity, y, varies directly as x When y=10, x=6.
Find xwhen y= 14.

Answer 1

The value of x when y = 14 is 8.4

How to solve variation ?

y, varies directly as x. Therefore,

y ∝ x

Therefore,

y = kx

where

• k =constant of proportionality

Therefore,

10 = 6k

k = 10 / 6

k = 5 / 3

Hence, when y = 14

y = kx

14 = 5 / 3 x

cross multiply

42 = 5x

x = 42 / 5

x = 8.4

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