y varies directly as w2. When y = 8, w = 2. Find y when w = 3

A.

18

B.

12

C.

9

D.

6

View answer & explanation

Correct answer is A

\(y \propto w^2\)

y = kw2

8 = k(2)2

8 = k(4)

k = 8/4

k = 2

Thus y = 2w2
When w = 3, y = 2(3)2

y = 2 x 9 = 18

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