AR U. answered • 10/08/19

Experienced Physics and Math Tutor [Edit]

Since W = f(c), where W is the weight in pounds and c is the number of calories consumed in a day

Then

a) f(1500) = 145 means that consuming 1500 calories per day causes a weight of 145 pounds.

[the units of 1500 are cal and 145 are lb]

b) f'(2000) = 0, means that consuming 2000 calories per day causes neither gain in weight nor loss in weight.

[the units of 2000 are cal and O is lb/cal]

c) f^{-1}(154) = 2400, means that a weight of 154 is caused by a consumption of 2400 calories per day.

[the units of 154 are lb and 2200 are cal]

d) f'(c) = dW/dc have units of pounds/calories

===> f'(c) = dW/dc [lb/cal]

e) Based on Sam's conclusion, f'(2800) = dW/dc = ΔW/Δc = 0.4/20 = 0.02

===> f'(2800) = 0.02