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P varies inversely as the square of W When W 4 ... - WAEC Mathematics 1997 Question

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 option: d
P α 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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