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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
  • E. 4/3
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Correct Answer: Option D
Explanation
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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