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

Question

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)
𝑓
𝑥
represent the total cost of the rental.

(1 point)
Responses

f(x)=0.50x+50
𝑓
(
𝑥
)
=
0
.
50
𝑥
+
50

Answer 1

The linear function that models the total cost \( f(x) \) of renting a car, where \( x \) is the number of miles driven, can be expressed as:

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

Here, \( 0.50x \) represents the cost incurred for driving \( x \) miles ($0.50 per mile), and the $50 is the base charge for renting the car itself.