Question

Pasion wants to rent a car to take a trip and has a budget of $75. There is a fixed rental fee of $25 and a daily fee of $10. Write an inequality that would be used to solve for the maximum number of days for which Pasion can rent the car on her budget.

Answer 1

The maximum number of days is 5

Explanation:

Let

x ----> the number of days

y ---> the total cost to rent a car in dollars

we know that

The fixed rental fee plus the daily fee multiplied by the number of days must be less than or equal to Pasion's budget

so

The inequality that represent this situation is

`25+10x\leq 75`

Solve the inequality for x

Subtract 25 both sides

`10x\leq 75-25`

`10x\leq 50`

Divide by 10 both sides

`x\leq 5\ days`

therefore

The maximum number of days is 5