A car can be rented from a local rental business for [tex]$80[/tex] per week plus [tex]$0.20[/tex] per mile. How many miles can be driven if you can spend at most [tex]$480[/tex] on a one-week rental?

Select one:
a. At most 1000 miles
b. At most 4000 miles
c. At most 500 miles
d. At most 2000 miles
e. At most 3000 miles

To solve this problem, we need to determine how many miles can be driven with a budget of at most [tex]$480 for one week of car rental, where the rental costs $[/tex]80 per week plus an additional [tex]$0.20 per mile.

Here's how to approach the problem step by step:

1. Determine the rental cost for one week:
The fixed weekly rental cost is $[/tex]80.

2. Calculate the remaining budget after paying the weekly rental:
Subtract the weekly rental cost from the total budget:
[tex]\[
\text{Remaining Budget} = 480 - 80 = 400
\][/tex]

3. Calculate the maximum number of miles that can be driven with the remaining budget:
The cost per mile driven is [tex]$0.20. To find out how many miles can be driven with the remaining $[/tex]400, divide the remaining budget by the cost per mile:
[tex]\[
\text{Maximum Miles} = \frac{400}{0.20} = 2000
\][/tex]

4. Determine the correct choice:
According to the steps above, the maximum number of miles that can be driven is 2000 miles.

Therefore, the correct answer is:
- At most 2000 miles

This corresponds to option d on the list.