Question

Assume y varies inversely as x, if y=5 when x=6, how do you find x when y=2?

Answer 1

15

Explanation:

If y varies inversely as x, the two variables can be represented in an equation in the form `y = k/x` where `k` is some constant.

We are given that `y = 5` when `x = 6`. We can plug this into the above equation to find what `k` is:

`5 = k/6`
`30 = k`

Based on this we can create our equation:

`y = 30/x`

And then find `x` when `y = 2`:

`2 = 30/x`
`2x = 30`
`x = 15`