Question

Tom will rent a car for the weekend he can choose one of two plans. the first plan has an initial fee of $53.96 and cost an additional $0.13 per mile driven. the second plan has an initial fee of $43.96 and cost additional $0.18 per mile driven. how many miles what time need to drive for the two plans to cost the same?​

Answer 1

Let's suppose that Tom drives x miles. Then, the total cost of the first plan will be:

C1 = 53.96 + 0.13x

And the total cost of the second plan will be:

C2 = 43.96 + 0.18x

To find how many miles Tom needs to drive for the two plans to cost the same, we need to solve the following equation:

53.96 + 0.13x = 43.96 + 0.18x

Simplifying:

10 = 0.05x

x = 200

Therefore, Tom needs to drive 200 miles for the two plans to cost the same.