Question

If p is inversely proportional to the square of q, and pis 24 when q is 11,

determine p when q is equal to 2.

Answer 1

p = 12 × 11²

Explanation:

By question,

=> p ∝ 1/q²

=> p = k/q²

• When p is 24 and q is 11

=> 24 = k/11²

=> k = 24 * 11²

• When q is 2 ,

=> p = k/q²

=> p = 24*11²/2

=> p = 12 × 11²

Answer 2

726

Explanation:

Here p = k / q², and 24 = k / 121, or k = 2904

Then p = 2904 / q²

If q = 2, p = 2904 /4 = 726