WAEC - Mathematics (2022 - No. 9)

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.

\(\frac{3n}{2p^2}\)

\(\frac{2n}{3p^2}\)

\(\frac{2n}{3p}\)

\(\frac{3n^2}{2p^2}\)

M = \(\frac{nk}{p^2}\)

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

k = \(\frac{3}{2}\)

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