Question

A weight-loss counselor has prepared a program of diet and exercise for a client that gives the following expected woight loss (in pounds per week). where o is the average daily calorie intake and n is the number of 40 -minute aerobic workouts per week. Weight loss =f(n,c)=3/20n²−1/5​c+4841/20​ a. How many pounds can the client expect to lose by eating an average of 1200 calories per day and participating in three 40 -minute workouts in a week? The client can expect to lose pounds in a week (Simplify your answee)

Answer 1

The client can expect to lose 5.7 pounds per week by eating an average of 1200 calories per day and participating in three 40-minute workouts in a week.

Step-by-step explanation:

To find how many pounds the client can expect to lose, we need to substitute the given values of calories and workouts into the weight loss function. The function is:
Weight loss = f(n, c) = (3/20) * n² - (1/5) * c + (4841/20)

Substituting n = 3 workouts per week

and c = 1200 calories per day into the function:

Weight loss = (3/20) * 3² - (1/5) * 1200 + (4841/20)

= (9/20) - (240/5) + (4841/20)

= -5.7 pounds per week

Therefore, the client can expect to lose approximately 5.7 pounds per week by eating an average of 1200 calories per day and participating in three 40-minute workouts in a week.