Question

Y varíes directly as x. Y=112 when x=8. Find y when x=13

Answer 1

y = 182

Explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 112 when x = 8

k =
`(y)/(x)` =
`(112)/(8)` = 14

y = 14x ← equation of variation

When x = 13, then

y = 14 × 13 = 182