WAEC - Mathematics (2017 - No. 2)
If x varies inversely as y and y varies directly as z, what is the relationship between x and z?
x \(\alpha\) z
x \(\alpha\) \(\frac{1}{z}\)
a \(\alpha\) z\(^2\)
x \(\alpha\) \(\frac{1}{z^2}\)
Explanation
\(x \propto \frac{1}{y}\), y \(\propto\) z
x = \(\frac{k}{y}\)
y = mz
Since y = mz,
x = \(\frac{k}{mz}\), where k and m are constants. Hence,
x \(\propto\) \(\frac{1}{z}\)
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