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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(y \propto \frac{1}{x^2}\)
\(y = \frac{k}{x^2}\)
\(x^2 = \frac{k}{y}\)
\(x = \frac{\sqrt{k}}{\sqrt{y}}\)
Since k is a constant, then \(\sqrt{k}\) is also a constant.
\(\therefore x \propto \frac{1}{\sqrt{y}}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26398)