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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #23863)