SOLUTION: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $55.96 for two days plus 15 cents per mile. The second plan costs $67.96 for two d

Question 152289: Tom will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $55.96 for two days plus 15 cents per mile. The second plan costs $67.96 for two days plus 11 cents per mile. How many miles does Tom need to drive for the two plans to cost the same?
Found 2 solutions by jojo14344, oscargut:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Okay, we'll equate the 2 plans nad let = miles that Tom needs to drive for them to be equal:
---------------------> working eqn

-------------> FINAL ASNWER
In doubt? go back each plan:
PLAN 1:
= $100.96
PLAN 2:
= $100.96
Thank you,
Jojo

Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
The first plan costs $55.96 for two days plus 15 cents per mile.
Then y=55.96+0.15x (where x are miles)
The second plan costs $67.96 for two days plus 11 cents per mile.
then y=67.96+0.11x(where x are miles)
How many miles does Tom need to drive for the two plans to cost the same?
then
55.96+0.15x =67.96+0.11x
then
-12=-0.04x
x=12/0.04=300
Answer: 300 miles

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