Question

Suppose that `y` varies directly as the square root of `x`, and the `y=43` when `x=324`. What is `y` when `x=172`?

Answer 1

`y=(43sqrt 43)/9`

Explanation:

`y prop sqrt x or y = k *sqrt x ; k` is variation constant.

`y=43 , x=324 :.y = k * sqrt x or 43 = k* sqrt 324` or

`43 = k* 18 :. k= 43/18 :.` The variation equation is

`y = 43/18 * sqrt x ; x=172 , y= ?`

`y = 43/18 * sqrt 172 =43/18 *2 sqrt 43` or

`y=(43sqrt 43)/9` [ Ans]