Kyle and Austin are taking the baseball team on a Spring Break road trip

Question

Kyle and Austin are taking the baseball team on a Spring Break road trip. They plan to rent a van so everyone rides together. Airport Rentals has a flat rate of $50 plus 10 cents per mile. Best Auto & Van charges a $30 flat rate plus 15 cents per mile.

A. How many miles can the team drive in order to be charged the same amount by the two companies?

B. When would it benefit the boys to choose one plan over the other?

Answer 1

A = 50 +.10M

B = 30+ .15M

50 + .10M = 30 + .15M

.05M = 20

M = 20/.05 = 2000/5 = 400 miles makes the two costs the same

drive more than 400 miles and A is cheaper

drive less than 400 miles and B is cheaper