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Variable y varies directly with x2, and y = 196 when x = 7.

Enter the constant of variation in the quadratic variation equation.

y = x2

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\(y=kx^2 \\ \\ y=196 \hbox{ when } x=7 \\ \Downarrow \\ 196=k \times 7^2 \\ 196=k \times 49 \\ \frac{196}{49}=k \\ k=4 \\ \\ \boxed{y=4x^2}\)

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