Problem

If the variation equation is given as \(y = kx^2\), and the point \((2,8)\) lies on the graph of this equation, what is the constant of variation \(k\)?

Answer

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Answer

Solving the equation for \(k\), we get \(k = \frac{8}{2^2} = \frac{8}{4} = 2\)

Steps

Step 1 :Substitute the given point \((2,8)\) into the equation \(y = kx^2\), we get \(8 = k(2^2)\)

Step 2 :Solving the equation for \(k\), we get \(k = \frac{8}{2^2} = \frac{8}{4} = 2\)

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