A weight-loss counselor has prepared a program of diet and exercise for a client. If the client sticks to the program, the weight loss that can be expected (in pounds per week) is given by

where c is the average daily calorie intake for the week and n is the number of 40-minute aerobic workouts per week.

(a) How many pounds can the client expect to lose by eating an average of 1200 cal per day and participating in four 40-minute workouts in a week?
(b) Find and interpret ∂ƒ/∂n.
(c) The client currently averages 1100 cal per day and does three 40-minute workouts each week. What would be the approximate impact on weekly weight loss of adding a fourth workout per week?

Transcribed Image Text:

Weight loss = f(n, c) = n² 1 5° -c + 1937 8