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 model the car rental cost as a linear function, we need to consider both the fixed charge for renting the car and the variable cost based on the miles driven.

The fixed charge for renting the car is $50, and the variable cost is $0.50 for each mile driven, which can be represented by the variable \( x \).

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

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

Here, \( 0.50x \) represents the cost based on the miles driven, and \( 50 \) represents the base rental fee.

Thus, the correct function that models the situation is:

f(x) = 0.50x + 50