Question on: WAEC Mathematics - 2018
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
1. **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.
2. **Using the Given Values:** We are given that *x* = 3 when *y* = 100. Substitute these values into the equation:
\\(100 = \frac{k}{3^2}\\)
3. **Solving for k:** Simplify and solve for *k*:
\\(100 = \frac{k}{9}\\)
\\(k = 100 \times 9\\)
\\(k = 900\\
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