Question

If there is inverse variation and y = 24 when x = 2, find y when x = -4.

y = -24
y = -10
y=-8
y = -12

Answer 1

y = - 12

Explanation:

If y varies inversely with x, then the equation relating them is

y =
`(k)/(x)` ← k is the constant of variation

to find k, substitute y = 24 , x = 2 into the equation

24 =
`(k)/(2)` ( multiply both sides by 2 )

48 = k

y =
`(48)/(x)` ← equation of variation

when x = - 4 , then

y =
`(48)/(-4)` = - 12