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 During which time period is the average rate of change zero?
The average rate of change over a time period is the change in weight divided by the change in time. From week 5 to week 6, the weight stays at 137 lb, so the change is 137 − 137 = 0 lb over 1 week. Therefore, the average rate of change is zero during this period: choice d, from week 5 to week 6.
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