You are considering buying one of two brands of barbecue grills. brand f costs $650 and will last for about fifteen years. brand g costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one brand f grill. in either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. you will pay off a brand f grill in five years of monthly payments, and you will pay off a brand g grill in three years of monthly payments.

assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (round all dollar values to the nearest cent.)
a. brand g will end up costing $159.48 less than brand f.
b. brand g will end up costing $50.00 less than brand f.
c. brand f will end up costing $134.28 less than brand g.
d. brand f will end up costing $91.08 less than brand g.