A 154-Ib person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. (3 points) 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.
The function rule to represent the total calories burned over time by the person is:
C(t) = 420/60 * t * (154/100)
where C(t) is the number of calories burned after t hours.
The information in the problem is used to calculate the rate at which the person burns calories while riding the exercise bicycle. This rate is given as 420 calories per hour. The person's weight is also given as 154 pounds, which is used to factor in their metabolic rate and adjust the rate at which they burn calories. The rate at which the person is riding the bicycle, 15 miles per hour, is not directly used in the function rule for calculating the calories burned, but it is implied that the person maintains this rate for the duration of their exercise. The function rule takes into account the time spent exercising and the person's weight to calculate the total number of calories burned during that time.