liljj1421
  • liljj1421
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.
Mathematics
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liljj1421
  • liljj1421
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.
Mathematics
schrodinger
  • schrodinger
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liljj1421
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ybarrap
  • 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?

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