If p varies inversely as the square of q, and p = 4 when q = 3, find p when q = 6.
A2
B16
C1CORRECT
D8
GCEMathematicsVariation and Inequalities2024
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Why the answer is C, and why the others tempt you.
Since p varies inversely as q², p = k/q². Using p = 4 and q = 3: k = 4 × 9 = 36. When q = 6, p = 36/36 = 1. A common error is forgetting to square q, which gives the wrong constant.
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