Concept explainers
Average Speed: A commuter regularly drives 70 miles from home to work, and the amount of time required for the trip varies widely as a result of road and traffic conditions. The average speed for such a trip is a function of the time required. For example, if the trip takes 2 hours, then the average speed is 70/2 = 35 miles per hour.
a. What is the average speed if the trip takes an hour and a half?
b. Find a formula for the average speed as a function of the time required for the trip. (You need to choose variable and function names. Be sure to state units.)
c. Make a graph of the average speed as a function of the time required. Includes trips from 1 hour to 3 hours in length.
d. Is the graph concave up or concave down? Explain in practical terms what this means
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