Question

The variables x and y vary inversely. How do you use the given values to write an equation relating x and y and then find y when x = 0.5?

Answer 1

Without the "given values" this question can not be answered; so let's assume the given values are `y=12` when `x=3`.
`rarr xy=36 or y = 36/x`
and `x=0.5 rarr y=72`

Explanation:

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

If `(x,y)=(3,12)` then `c=36`
and the above answer follows directly.