Question

Suppose that y varies inversely with x, how do you write an equation for the inverse variation y=4 when x=-6?

Answer 1

The inverse variation equation is `x*y=24`

Explanation:

`y` varies inversely with `x` , so
`y prop 1/x :. y =k *1/x or x*y=k; k` is a constant of proportionality.

`y=4 ; x=6 :. k =x*y=4*6=24`

The inverse variation equation is `x*y=24` [Ans]