Question

Sarah pays $100 plus $1.00 per mile to rent a car represented by the function f(x) = x + 100, where x is the number of miles driven. What are reasonable domain and range values for this function?

A) Domain: All real numbers, Range: $100 to [infinity]
B) Domain: All real numbers, Range: $0 to [infinity]
C) Domain: All positive integers, Range: $100 to [infinity]
D) Domain: All positive integers, Range: $0 to [infinity]

Answer 1

The reasonable domain values for the function f(x) = x + 100 are all real numbers. The range values start from $100 and go to infinity.

Step-by-step explanation:

The reasonable domain values for the function f(x) = x + 100 are all real numbers, as there are no restrictions on the number of miles driven. So, the correct option for the domain is A) Domain: All real numbers.

The range values for the function f(x) = x + 100 start from $100 and go to infinity. This is because the base cost of renting the car is $100, and for every mile driven, an additional $1.00 is added. Since the number of miles driven can be any positive value, the total cost can go to infinity. So, the correct option for the range is D) Range: $0 to [infinity].