Question

P varies inversely as Q and P = 6 when Q = 24. find
a. Q when P = 8
b. P when Q=16

Answer 1

Explanation:

P = k/Q where k is a constant.

P is 6 when Q is 24, so:

6 = k / 24

k = 6*24 = 144

so, the relation is P = 144/Q.

a. When P = 8,

8 = 144/Q

8Q = 144

Q = 144/8 = 18

b. When Q = 16

P = 144/16

= 9.