SOLUTION: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two

Question 356794: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two days plus 10 cents per mile. How many miles does Tom need to drive for the two plans to cost the same?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $51.98 for two days plus 12 cents per mile. The second plan costs $55.98 for two days plus 10 cents per mile. How many miles does Tom need to drive for the two plans to cost the same?

first plan
51.98 + 0.12x
second plan
55.98 + 0.10x
set 2 plans equal and solve for x
51.98 + 0.12x = 55.98 + 0.10x
0.12x - 0.10x = 55.98 - 51.98
0.02x = 4
x = 200 miles for the two plans to cost the same

check:
51.98 + 0.12(200) = 51.98 + 24 = 75.98
55.98 + 0.10(200) = 55.98 + 20 = 75.98, at 200 miles both equal

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