Question

If p is inversely proportional to the square of q, and p is 18 when q is 2, determine p when q is equal to 3

Answer 1

Answer:

p = 8

Step-by-step explanation:

If p is inversely proportional to the square of q,

Mathematically

p ∝ 1/q²

p = k × 1/q²

p = k/q²

p is 18 when q is 2,

We find k

18 = k/2²

Cross Multiply

k = 18 × 2²

k = 72

Determine p when q is equal to 3

Hence,

p = k/q²

k = 72, q = 3

p = 72/3²

p = 72/9

p = 8