Problem

If \(y = kx^2\), where \(k\) is a constant, and \(y = 25\) when \(x = 5\), what is the value of \(k\)?

Answer

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Answer

Finally, solve for \(k\) by dividing both sides of the equation by 25, we get \(k = 1\).

Steps

Step 1 :First, substitute \(x = 5\) and \(y = 25\) into the equation \(y = kx^2\), we get \(25 = k(5)^2\).

Step 2 :Next, simplify the right hand side to get \(25 = 25k\).

Step 3 :Finally, solve for \(k\) by dividing both sides of the equation by 25, we get \(k = 1\).

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