Sarah heard a P.E. teacher mention that for every mile a person runs, they burn 100 calories. If you model...

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Sarah heard a P.E. teacher mention that for every mile a person runs, they burn 100 calories.
If you model the relationship between miles ran and calories burned, select the appropriate domain and range in this relationship.
Domain: miles ran: greater than or equal to zero Range: calories burned: greater than or equal to zero
Which of the following functions represents this relationship between miles ran, m, and calories burned, c?
c = f(m) = 100m
c = f(m) = m + 100
c = f(m) = m - 100
c = f(m) = 100m + 100

SnapAndSolve AI · Accepted Answer

Domain: The domain is the set of all possible input values. Since miles ran cannot be negative, the domain is greater than or equal to zero. Range: The range is the set of all possible output values. Since calories burned cannot be negative, the range is greater than or equal to zero. c = f(m) = 100m: This function correctly represents the relationship because for every mile run, 100 calories are burned. c = f(m) = m + 100: This function does not correctly represent the relationship as it adds 100 calories regardless of miles run. c = f(m) = m - 100: This function does not correctly represent the relationship as it subtracts 100 calories. c = f(m) = 100m + 100: This function does not correctly represent the relationship as it adds an extra 100 calories.

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