Question

you began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period. Time (weeks) 0 1 2 3 4 5 6 7 8 Weight (lb) 150 144 143 141 140 137 137 132 129. If you lost 13 pounds in the first five weeks, what is the average rate of change of weight with respect to time over the first five weeks of the program?

Answer 1

On e2020 the correct answer is D -2.6 pounds per week

Explanation:

I just took the test.

Answer 2

Time (weeks) 0 1 2 3 4 5 6 7 8
Weight (lb) 150 144 143 141 140 137 137 132 129

Change in time (weeks) = 5 - 0 = 5 = -0.3846
Change in weight (lbs) 137 -150 -13

The average rate of change of weight with respect to time over the first five weeks of the program is -0.3846. It is a negative sign because the weight is decreasing.