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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...

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.
Which of miles ran: greater than or equal to zero, miles ran: greater than zero, miles ran: greater than or equal to 100, miles ran: less than 100 best describes the relationship between miles ran, m, and calories burned, c?

Answer

Domain: The domain is the set of all possible input values. Since a person can run any non-negative number of miles, the domain is miles ran: greater than or equal to zero.

Range: The range is the set of all possible output values. Since 100 calories are burned per mile, the range is calories burned: greater than or equal to zero.

Best description: The best description of the relationship is miles ran: greater than or equal to zero because you cannot run a negative number of miles.

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