Problema Solution
The ideal body weight W for men (in kilograms) as a function of height h(in inches) is given by the function W(h) = 50 + 2.3(h – 60)
(a) What is the ideal weight of a 6-foot male?
(b) Express the height h as a function of weight W.
(c) What is the height of a male who is at his ideal weight of 80 kilograms?
Answer provided by our tutors
W(h) = 50 + 2.3(h – 60)
W = weight in kilograms
h = height in inches
(a) What is the ideal weight of a 6-foot male?
h = 6 ft
1 ft = 12 in
6 ft = 12*6 = 72 in
h = 72 in
Plug h = 72 in into W(h) = 50 + 2.3(h – 60):
W(72) = 50 + 2.3(72 - 60)
W(72) = 77.6 kg
(b) Express the height h as a function of weight W.
W = 50 + 2.3(h – 60)
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click here to see the solving for h
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h = (1/2.3)(W + 88)
(c) What is the height of a male who is at his ideal weight of 80 kilograms?
W = 88 kg
Plug w = 88 kg into h = (1/2.3)(W + 88)
h = (1/2.3)(88 + 88)
h = 76.52 in