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WAEC Mathematics 2022 Paper

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Question : 9

Total: 47

M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.

$\frac{3n}{2p^2}$
$\frac{2n}{3p^2}$
$\frac{2n}{3p}$
$\frac{3n^2}{2p^2}$

Solution:

M = $\frac{nk}{p^2}$

k → $\frac{mp^2}{n}$ = $\frac{3x1^2}{2}$

k = $\frac{3}{2}$

: m = $\frac{3xn}{2p^2}$

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