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If p varies inverse as the square of q and p 8 ... - JAMB Mathematics 2008 Question

If p varies inverse as the square of q and p = 8 when q =4, find q when p = 32

A
\(\pm\)16
B
\(\pm\)8
C
\(\pm\)4
D
\(\pm\)2
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Correct Option: D

P (\alpha) (\frac{1}{q^2})

p = (\frac{k}{q^2})

k = pq2

k = 8 x 42

k = 8 x 16 = 128

find k = pq2

q2 = (\frac{k}{p})

q = (\frac{k}{p})

q = (\frac{128}{32})

q = √4

q = (\pm)2

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