Question

The pressure (P) on a diver in the water varies directly as the depth (d). If the pressure is 3.6 lb/in2 when the depth is 8 feet, what is the pressure when the depth is 6 feet?

Answer 1

27 lb/sq.in

Explanation:

If pressure is directly proportional to depth d then it can be mathematically written as

P=kd where k is constant of proportionality

To find "k" we substitute value of p = 3.6 lb/in2 and d = 8 feet as given in problem

3.6=k8

=>k = 3.6/8 = 0.45

k=0.45

Thus relation of pressure and depth can be written as

p=(0.45)d

If the depth is 6ft,

p=(0.45)(6)=27 lb/sq.in

Thus pressure is 27 lb/sq.in when the depth is 6 feet.