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WAEC Mathematics 2017 Paper

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Question : 2

Total: 49

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 $\alpha$ $\frac{1}{z^{2}}$

Solution:

$x \propto \frac{1}{y}$ , 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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