y varies directly as w2 When y 8 w 2 Find y whe... - JAMB Mathematics 2024 Question

Given that y varies directly as $w^2$, the equation becomes:

y = k * w²,

where k is the constant of variation. When y = 8 and w = 2, we can solve for k:

8 = k * 2²,

8 = k * 4,

k = 2.

Now, substitute w = 3 into the equation to find y:

y = 2 * 3² = 2 * 9 = 18.