Question

If y varies inversely as x and x=2 when y=8, what is x when y=5?

Answer 1

`x=3.2`

Explanation:

if `y` is inversely proportional to `x`

then `y=k/x`

substitute with the values given of `x,y` to find the value of `k`

`8=k/2`

`k=16`

so the function will be:

`y=16/x`

now in order to get the value of `x` at `y=5` We substitute

`5=16/x`

`x=3.2`