Question on: JAMB Mathematics - 2024

y varies directly as \(w^2\). 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

Since y varies directly as \(w^2\):

\(y = k w^2\)

Given y = 8, w = 2:

\(8 = k(4)\)

\(k = 2\)

Now substitute w = 3:

\(y = 2(3^2) = 18\)

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