*y*varies directly as

*w*. When y = 8, w = 2. Find y when w = 3

^{2}-
**A.**

18 -
**B.**

12 -
**C.**

9 -
**D.**

6

##### Correct Answer: Option A

##### Explanation

(y propto w^2)

y = kw^{2}

8 = k(2)^{2}

8 = k(4)

k = 8/4

k = 2

Thus y = 2w^{2}

When w = 3, y = 2(3)^{2}

y = 2 x 9 = 18

There is an explanation video available below.