Questions: Consider the table below. Car Rental Trip Time Distance Traveled Cost ------------------------------------------------ First Trip 2 days 275 miles 140.75 Second Trip 1 day 95 miles 59.75 A salesman rents a car for two trips from the same rental company. The rental company charges a daily fee plus a charge for each mile driven. According to this table, how much did the rental company charge per day and per mile? a. 17 per day and 0.45 per mile c. 8.45 per day and 0.54 per mile b. 36 per day and 0.25 per mile d. 70.38 per day and 0.63 per mile

Solution Steps

To determine the daily fee and the per mile charge, we can set up a system of linear equations based on the given data. Let \( d \) be the daily fee and \( m \) be the per mile charge. We can then use the information from the two trips to form two equations and solve for \( d \) and \( m \).

We are given the following information for two trips:

• First Trip: 2 days, 275 miles, cost \$140.75
• Second Trip: 1 day, 95 miles, cost \$59.75

Let \( d \) be the daily fee and \( m \) be the per mile charge. We can set up the following system of linear equations based on the given data: \[ \begin{cases} 2d + 275m = 140.75 \\ d + 95m = 59.75 \end{cases} \]

\begin{pmatrix} 140.75 \\ 59.75 \end{pmatrix} \]

\begin{pmatrix} 36.00 \\ 0.25 \end{pmatrix} \]

From the solution, we find:

• The daily fee \( d \) is \$36.00 per day.
• The per mile charge \( m \) is \$0.25 per mile.

Final Answer