Question

P varies inversely with the
square of Q. When Q is 8, P is 9.
Find the value of P when Q is 3.

Answer 1

Mathematics

P Varies inversly Q and P × 9Q = 9P

9P × 3Q = 27

Answer 27

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Answer 2

When Q is 3, P is 64.

Explanation:

P varies inversely with the square of Q
P = k/Q^2

When Q is 8 and P is 9,
9 = k/8^2
9 = k/64
k = 576

When Q is 3,
P = 576/3^2
P = 576/9
P = 64