## liljj1421 one year ago 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.

1. liljj1421

@zoomiemoo

2. ybarrap

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 |dw:1433007309603:dw| 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?