Question

If p varies inversely as Q2 and p = 4 when Q =0.5, find p when Q = 1.5

Answer 1

a) k = 8

b) p = 12

Explanation:

Step(i):-

Given that p varies inversely as Q

p∝ Q

p = k Q

Given that p = 4 and Q = 0.5

4 = k (0.5)

k =
`(4)/(0.5) = 8`

Step(ii):-

Given that Q = 1.5

p = k Q

p = 8 (1.5)

p = 12