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Question

if p varies inversely as q^2 and p=4 when q=1/2 find p when q=2/3

Answer 1

q^2=4; When "q"=1/2.

q=2; ?????????

Answer 2

The form of the relationship between p and q is as follows:

p = k * 1/q²

p = 4 when q = 1/2 tells you 4 = k*(1/(1/2)²) ⇒ 4 = k*4 ⇒ k = 1

Hence p = 1/q²

When q = 2/3, p = 1/(2/3)² ⇒ p = 1/(4/9) = 9/4