Car rentals involve a $130 flat fee and an additional cost of $31.67 a day. what is the maximum number of days you can rent a car if you have a $500 budget?

Represent the number of days by x. With this representation, the variable cost of the rental is 31.67x. The total cost is the sum of the fixed and variable costs. This value should not be more than $500. The equation below shows the relationship.
                                          130 + 31.67x ≤ 500

Solving for x gives x ≤ 11.68
Thus, the maximum number of days to rent the car is only 11 days

$500-$130=$370
$370 divided by $31.67= 11 to 12 days