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

@zoomiemoo

Answer 2

So the question is asking you for a function with the unit of calories burned over time. When you multiply calories per hour time by time we get calories

$$
\cfrac{calories}{hr}\times x~hrs=calories
$$
So if your x-axis is time and your y axis is calories, the slope of your equation is calories per hour



So to get total calories, our rule (or function) is
$$
\text{Total Cals}=\cfrac{420~cals}{hr}\times t
$$
Where \(t\) is time righting the bicycle in hours.

The other pieces of information are not important for determining the relationship between calories and time.

Does this make sense?