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.
Answers below:
f(x) = 0.50x + 50
f(x) = 0.50x - 50
f(x) = 50x + 0.50
f(x) = 50x - 0.50
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.
Answers below:
f(x) = 0.50x + 50
f(x) = 0.50x - 50
f(x) = 50x + 0.50
f(x) = 50x - 0.50
Answers
GPT-4o mini
To model the total cost \( f(x) \) of renting a car based on the number of miles driven \( x \), we start by identifying the fixed cost and the variable cost:
- The fixed cost for renting the car is $50.
- The cost for each mile driven is $0.50.
Therefore, the total cost can be expressed as:
\[
f(x) = 0.50x + 50
\]
where \( x \) is the number of miles driven.
Thus, the correct answer from the provided options is:
**f(x) = 0.50x + 50**
- The fixed cost for renting the car is $50.
- The cost for each mile driven is $0.50.
Therefore, the total cost can be expressed as:
\[
f(x) = 0.50x + 50
\]
where \( x \) is the number of miles driven.
Thus, the correct answer from the provided options is:
**f(x) = 0.50x + 50**