P varies inversely as the square of W. When W = 4, P = 9.

MATHEMATICS

WAEC 1997

P varies inversely as the square of W. When W = 4, P = 9. Find the value of P when W = 9

A. 729/16
B. 6
C. 4
D. 16/9

Correct Answer: D. 16/9

Explanation

P ? 1/w²; P = K/W²

9 = K/4²; 9 = K/16

K = 9 x 16 = 144

P = K/W²; when w = 9

P = 144/9² = 144/81 = 16/9

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