Question

Ray's rents RV's for a flat fee of $200. In addition, they charge $125 per day that an RV is rented. If the variable x represents the number of days that the RV is rented, complete the following tasks.

A. The total cost for renting the RV for x days is given by C(x) = 200x + 125.
B. The slope of the cost function C(x) is 125.
C. Ray's RVs charges $200 per day for renting an RV.
D. The y-intercept of the cost function C(x) is $125.

Answer 1

The total cost function for renting the RV is C(x) = 200 + 125x, where the slope is 125, indicating the daily charge for the RV, and the y-intercept is $200, which is the flat fee charged irrespective of the rental duration.

Step-by-step explanation:

The student seems to be confused with the given cost function C(x) for renting an RV. Let's clarify each statement they have made.

Task A

The correct total cost function for renting the RV for x days is C(x) = 200 + 125x. This equation says that there is a flat fee of $200, and each day adds $125 to the total cost.

Task B

The slope of the function C(x) is 125, which represents the cost per day for renting the RV.

Task C

This statement is incorrect. Ray's RVs charges a flat fee of $200, not per day. The daily charge is actually $125 as reflected by the slope of the cost function C(x).

Task D

The y-intercept of the cost function C(x) is $200, not $125. The y-intercept is the flat fee that is charged irrespective of the number of days the RV is rented (when x=0).