A 154-1b person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.

Answer 1

The function rule to represent the total calories burned over time by that person is C(t) = 420t, where t is the number of hours the person rides the exercise bicycle. This is because the person burns 420 calories per hour, and the total calories burned is simply the product of the number of hours and the calories burned per hour.

The information in the problem provides us with two pieces of information: the person's weight (154 lbs) and the rate at which they are riding the exercise bicycle (15 mi/hr). While these pieces of information are not directly used in the function rule, they can be useful in understanding the context of the problem and in interpreting the output of the function. For example, knowing the person's weight can help us estimate their overall level of fitness, and knowing the rate at which they are riding the exercise bicycle can help us estimate the intensity of their workout.