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

y varies directly as w2. When y = 8, w = 2. Find y when w = 3
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  • A 18
  • B 12
  • C 9
  • D 6
Correct Answer: Option A
Explanation:
\(y \propto w^2\)
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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