# After visiting Florida State University during spring break, Francisco rents a car for 2 days

After visiting Florida State University during spring break, Francisco rents a car for 2 days to travel around Florida. He has $255 to spend on car rental for the 2 days. Sea Horse Car Rental charges $50 per day and $0.25 per mile. Ocean Blue Car Rental charges $60 per day and $0.20 per mile. Which company, if either, allows him to travel more miles for the 2 days, and how many miles more? (Note: Taxes are already included in the rental charges.)

- Sea Horse, 20
- Ocean Blue, 55
- Ocean Blue, 100
- Sea Horse, 135
- Francisco would get the same maximum number of miles from each company.

### Answer

**The correct answer is B. **

The cost of renting a car from Sea Horse for 2 days is 2(50) + 0.25m where m is the number of miles driven.

Because Francisco has $255 to spend, the maximum number of miles he can drive if he rents from Sea Horse is the solution to the equation 100 + 0.25m = 255, or m = 620.

Similarly, the maximum number of miles Francisco can drive if he rents from Ocean Blue is the solution to 2(60) + 0.20m = 255, or m = 675.

If Francisco rents from Ocean Blue, he can travel 55 miles more than if he rents from Sea Horse.