To determine how much someone will owe the rental car company when they drive their rental car for 150 miles, we need to break down the pricing structure step-by-step.
1. Base Fee: There is a fixed base fee to rent the car, which is \[tex]$40.
2. Cost for the First 100 Miles:
\[
\text{Cost per mile for the first 100 miles is } \$[/tex]0.25.
\]
The cost for driving the first 100 miles can be calculated as:
[tex]\[
100 \text{ miles} \times \$0.25 \text{ per mile} = \$25.00.
\][/tex]
3. Cost for Miles Over 100:
[tex]\[
\text{There are } 150 - 100 = 50 \text{ miles driven over 100 miles}.
\][/tex]
The cost per mile for these additional miles is \[tex]$0.18. So, the cost for driving the extra 50 miles is:
\[
50 \text{ miles} \times \$[/tex]0.18 \text{ per mile} = \[tex]$9.00.
\]
4. Total Cost:
\[
\text{Total cost is the sum of the base fee, the cost for the first 100 miles, and the cost for the additional miles}.
\]
\[
\text{Total Cost} = \$[/tex]40 (base fee) + \[tex]$25.00 (\text{first 100 miles}) + \$[/tex]9.00 (\text{additional miles}) = \[tex]$74.00.
\]
Thus, the total amount owed to the rental car company for driving 150 miles is \$[/tex]74.00.
So the correct answer is not listed among the given choices (\[tex]$37.50, \$[/tex]77.50, \[tex]$67.00, \$[/tex]27.00) but the correct total cost calculated is \$74.00.
