### Home > A2C > Chapter Ch8 > Lesson 8.1.4 > Problem 8-61

8-61.

Rip-Off Rentals charges $25 per day plus 50

^{¢}per mile to rent a mid-sized car. Your teacher will rent you his or her family sedan and charge you only 3^{¢}if you drive one mile, 6^{¢}if you drive two miles, 12^{¢}if you drive three, 24^{¢}for four, and so on. Homework Help ✎Write a rule that will give you the cost to rent each car.

If you plan to rent the car for a two-day road trip, which is the better deal if you drive 10 miles? 20 miles? 100 miles?

Let *d* = number of days, *m* = number of miles, and *y* = total cost.

Your teacher is using a geometric sequence.

*y* = 25*d* + 0.5*m* and *y* = 0.03(2)^{m}^{−1}

Substitute the values into each equation to see which rental costs less for each distance.