passpadi

2008

Mathematics

67ca00ce0c643c71d77dee1f

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

A.

± 16

B.

± 8

C.

± 4

D.

± 2

Correct Answer: ± 2

Explanation

p ∝ 1/q p = k/q K = q2p= 42(8) ∴p = 128/q 32 = 128/q q2 = 128/32 q2 = 4 q = √4 = ± 2

p ∝ 1/q p = k/q K = q2p= 42(8) ∴p = 128/q 32 = 128/q q2 = 128/32 q2 = 4 q = √4 = ± 2
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