Let's solve this step-by-step based on the information provided.
1. Understanding the Problem:
- The base fee for renting the car is [tex]$\$[/tex]40[tex]$.
- For the first 100 miles driven, the cost is $[/tex]\[tex]$0.25$[/tex] per mile.
- For any miles driven over 100 miles, the cost is [tex]$\$[/tex]0.18[tex]$ per mile including the base fee.
2. Given Data:
- The car is driven for 150 miles.
3. Calculate the Cost for the First 100 Miles:
- The cost for the first 100 miles can be computed as:
\[
\text{Cost for first 100 miles} = 40 + (0.25 \times 100) = 40 + 25 = \$[/tex]65
\]
4. Calculate the Cost for the Additional Miles:
- Now, compute the cost for the 50 miles driven over the initial 100 miles.
[tex]\[
\text{Cost for additional 50 miles} = 0.18 \times (150 - 100) = 0.18 \times 50 = \$9
\][/tex]
5. Calculate the Total Cost:
- Add the cost for the first 100 miles to the cost for the additional 50 miles.
[tex]\[
\text{Total Cost} = 65 + 9 = \$74
\][/tex]
Thus, the total amount owed to the rental company when the car is driven for 150 miles is [tex]$\$[/tex]74[tex]$.
So, the correct answer is:
$[/tex][tex]$
\$[/tex] 74.00
[tex]$[/tex]
