Question

How do you write an inverse variation equation that relates x and y when you assume that y varies inversely as x given that if y=124 when x=12, find y when x= -24?

Answer 1

An inverse variation has the form
`y = c/x` for some constant `c`

Given `(x,y) = (12,124)` is a solution pair for the desired inverse variation:
`124 = c/12`
`rarr c = 1488`
and the inverse variation equation is
`y = 1488/x`

When `x=-24` this becomes
`y = 1488/(-24) = -62`