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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

Answer :

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.

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