Question

Vacation: The Porter family takes a trip and rents a car. The rental costs $125 plus $0.30 per mile.

b. Explain any limitations to the range or domain in this situation.
a) The domain is all real numbers, and the range is C>0.
b) The domain is all real numbers, and the range is C≥0.
c) The domain is m≥0, and the range is C>0.
d) The domain is m>0, and the range is C≥0.

Answer 1

In this situation, the range is C>0 and the domain is m>=0.

Step-by-step explanation:

In this situation, the range and domain have limitations.

The domain represents the possible inputs or values for the number of miles driven. Since the Porter family is on a trip, it is reasonable to assume that they will drive at least some miles. Therefore, the domain in this situation is m>0, meaning the number of miles driven must be greater than zero.

The range, on the other hand, represents the possible outputs or costs. In this situation, the rental cost is $125 plus $0.30 per mile. Since the rental cost cannot be negative, the range is C>0.

Therefore, the correct answer is c) The domain is m>=0, and the range is C>0.