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 in three sentences.
Function rule: C(t) = 420t, where C is the total calories burned and t is the time in hours.
This function relates the calories burned to the time spent riding the exercise bicycle at a constant rate of 15 miles per hour. The rate of burning calories per hour is constant, and this is expressed in the coefficient 420 in the function rule. The input t represents the independent variable, and it tells us how long the person rode the bike, while the output C represents the dependent variable, and it gives us the total calories burned during that time.