Question

If x varies inversely with y and x = 8 when y = 6, how do you find y when x = 10?

Answer 1

If `x` varies inversely with `y`
then `x*y = c` for some constant `c`

Given `(x,y)=(8,6)` is a solution to the desired inverse variation:
`(8)*(6) = c`
`rarr c = 48`
and the desired inverse variation is `xy=48`

When `x=10`
`10 y = 48`
`rarr y = 4.8`