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X varies directly as the square of Y. For $Y = 6, X = 72$ . Find $X$ for $Y = 9$

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243

162

answer is C.

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Detailed Solution

$\begin{array}{l} X α y^{2} \\ X = k y^{2} \\ F o r y = 6 \\ 72 = k {(6)}^{2} \\ 72 = k (36) \\ k = 2 \\ Find X when y = 9 \\ X = k y^{2} \\ X = 2 {(9)}^{2} \\ X = 2 (81) \\ X = 162 \end{array}$

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