Heart health is a prime concern, because heart disease is

Chapter 3, Problem 3.4.7

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Heart health is a prime concern, because heart disease is the leading cause of death in the United States. Aerobic activities such as walking, jogging, and running are recommended for cardiovascular fitness, because they increase the hearts strength and stamina. a. A typical training recommendation for a beginner is to walk at a moderate pace of about 3.5 miles/hour (or approximately 0.0583 miles/minute) for 20 minutes. Construct a function that describes the distance traveled Dbeginner, in miles, as a function of time, T, in minutes, for someone maintaining this pace. Construct a small table of values and graph the function using a reasonable domain. b. A more advanced training routine is to walk at a pace of 3.75 miles/hour (or 0.0625 miles minute) for 10 minutes and then jog at 5.25 miles hour (or 0.0875 miles minute) for 10 minutes. Construct a piecewise linear function that gives the total distance, Dadvanced, as a function of time, T, in minutes. Generate a small table of values and plot the graph of this function on your graph in part (a). c. Do these two graphs intersect? If so, what do the intersection point(s) represent?

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