Question

How do you write the inverse variation equation of the following. Y varies inversely with x and y = -12 when x = 6?

Answer 1

Inverse variation equation is `y=-72/x`

Explanation:

When `y` varies inversely with `x`, we have `yprop1/x` i.e.

`y=1/x xxk`, where `k` is a constant. In other words, multiplying both sides by `x`, we get

`x xx y=k`

Here `y=-12`, when `x=6`

i.e. `6xx(-12)=k` or `k=-72`

Hence inverse variation equation is `y=-72/x`