Question

For the average person that is still growing, the rate of change in weight W (in pounds) with respect
to height h (in inches) is approximately dW/dh=0.0015h^2 pounds per inch. Suppose that the average
person that is 60 inches tall weighs 108 pounds. Find the weight of an average person that is 5 feet
10 inches tall.

Answer 1

dW/dh = .0015 h^2

W = constant + .0005 h^3
108 = c + .0005(60)^3
108 = c + 108
c = 0
so
W = .0005 h^3
W(70) = .0005 (70)^3
= 171.5