Question

If the value of “y” varies directly with “x” and y = -51 when x = 3, find “y” if x = 2

Y =

Answer 1

y = - 34

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 = - 51 when x = 3

k =
`(y)/(x)` =
`(-51)/(3)` = - 17

y = - 17x ← equation of variation

When x = 2, then

y = - 17 × 2 = - 34