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.
