SOLUTION: please help me solve this domain and ranger equation During one school day, the temperature in Ms. Senior's classroom between 8 a.m. and 4 p.m. could be modeled by the equation:

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Question 984308: please help me solve this domain and ranger equation During one school day, the temperature in Ms. Senior's classroom between 8 a.m. and 4 p.m. could be modeled by the equation:
T = 60 + 2h
where T is the temperature in degrees and h is the number of hours since 8 a.m.
Determine the best representation of a reasonable domain and range

Found 2 solutions by rothauserc, solver91311:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
between 8 a.m. and 4 p.m is 8 hours but include 0 hours at 8am
T = 60 + 2h
domain of this equation is the set (0, 1, 2, 3, 4, 5, 6, 7, 8)
range of this equation is (60, 62, 64, 66, 68, 70, 72, 74, 76)

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The domain is the set of values for which the function is defined. The stem of the question gives you the time period for which the function is valid, so the domain is the set of numbers of hours since 8 am until 4 pm, 0 through...

This is a linear function and, since the slope is positive, it is increasing. So the range is going to be the set of values of the function (the Temperature) from the point where the independent variable (hours since 8) is smallest to the point where the independent variable is largest.

John

My calculator said it, I believe it, that settles it

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