Question

If y=12 when x=3, how do you find x when y=6 given y varies inversely as x?

Answer 1

`x=6`

Explanation:

An inverse relation means that:

`k=yx`

Where `k` is a constant.

In this case, we have that:

`k=(12)(3)=36`

So we can replace K with 36.

`36=yx`

Now, plug in `y=6` and solve for `x`.

`36=(6)x`

Divide both sides by 6.

`6=x`

Final Answer