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y varies directly as w2 When y 8 w 2 Find y whe... - JAMB Mathematics 2014 Question

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

A
18
B
12
C
9
D
6
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Correct Option: 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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