Question on: WAEC Mathematics - 1999
If y varies inversely as x\(^2\), how does x vary with y?
A
x varies inversely as y2
B
x varies inversely as y
C
x varies directly as y2
D
x varies directly as y
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Correct Option: B
\(y \propto \frac{1}{x^2}\)
\(y = \frac{k}{x^2}\)
\(x^2 = \frac{k}{y}\)
\(x = \frac{\sqrt{k}}{\sqrt{y}}\)
Since k is a constant, then \(\sqrt{k}\) is also a constant.
\(\therefore x \propto \frac{1}{\sqrt{y}}\)
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