Question

Question #8333d

Answer 1

`x = 2`

Explanation:

Varies directly means that it is proportional: `A = kB` where `k` is the constant of proportionality.

`x = ky`

Solve for `k`:

`8 = k * 24` so `k = 8/24 = 1/3`

So when `y = 6`: `x = 1/3 * 6 = 2`

You can also solve this problem using proportions without a `k`:
`x_1/y_1 = x_2/y_2`; `8/24 = x_2/6`

Using the cross product `x_1 * y_2 = x_2* y_1`

`24x_2 = 48`

So `x_2 = 48/24 = 2`