Short Answer
Note: For questions 19–21, your teacher will grade your responses to ensure you receive proper credit for your answers.
A 154-lb 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.
The function rule to represent the total calories burned over time by that person is:
Calories burned = (420/60) x time in hours x 154
This simplifies to:
Calories burned = 7 x time in hours x 154
The information in the problem gives us the rate at which the person is riding the exercise bicycle (15 mi/hr) and the calories burned per hour at that rate (420 calories). We use this information to find the total calories burned over time by multiplying the number of hours ridden by the calories burned per hour, giving us the function rule. The weight of the person (154 lbs) is also used in the calculation as it affects the number of calories burned.