Question

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.

Answer 1

Let x be the number of hours the person rides the exercise bicycle.

The function rule to represent the total calories burned over time by that person can be written as:

C(x) = 420* x

where C(x) represents the total calories burned and 420 is the number of calories burned per hour.

The information in the problem gives us the person's weight (154 lbs) and the rate at which they ride the exercise bicycle (15 mi/hr). Using this information, we can calculate the number of calories burned per hour.

Since we know that the person burns 420 calories per hour, we can use this information to create a linear function that relates the number of calories burned to the amount of time the person rides the exercise bicycle. This linear relationship can be represented by the function rule above.