Given that y varies inversely as the square of ... - WAEC Mathematics 2018 Question
Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.
A
\(yx^2 = 300\)
B
\(yx^2 = 900\)
C
y = \(\frac{100x}{9}\)
D
\(y = 900x^2\)
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Correct Option: B
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Understanding Inverse Variation: Since y varies inversely as the square of x, we can write the relationship as \(y = \frac{k}{x^2}\), where k is the constant of variation.
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Using the Given Values: We are given that x = 3 when y = 100. Substitute these values into the equation: \(100 = \frac{k}{3^2}\)
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Solving for k: Simplify and solve for k: \(100 = \frac{k}{9}\) \(k = 100 \times 9\) \(k = 900\
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