Question

Create a linear function that models the following real-world financial problem:

A car rental company charges $50 to rent a car and $0.50 for each mile driven. Let x represent the number of miles driven. Let f(x)
represent the total cost of the rental.

(1 point)
Responses

f(x)=0.50x+50

f ( x ) = 0 . 50 x + 50

f(x)=0.50x−50

f ( x ) = 0 . 50 x - 50

f(x)=50x+0.50

f ( x ) = 50 x + 0 . 50

f(x)=50x−0.50

Answer 1

To create a linear function that models the problem described, we need to account for both the fixed rental cost and the variable cost based on the miles driven.

The rental company charges a flat fee of $50, and an additional $0.50 for each mile driven, which is represented by \( x \).

The total cost \( f(x) \) can be expressed as follows:

\[
f(x) = 0.50x + 50
\]

Thus, the correct response is:

**f(x) = 0.50x + 50**