Question

Keith will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $53.98 and cost an additional 0.13 per mile driven. the second plan has an initial fee of $67.98 and cost an additional 0.11 per mile driven. how many miles would Keith need to drive for the two plans to cost the same​

Answer 1

Let's assume the number of miles driven is represented by "m". The total cost of the first plan can be represented by:

C1 = 53.98 + 0.13m

And the total cost of the second plan can be represented by:

C2 = 67.98 + 0.11m

We want to find the number of miles, "m", that makes C1 equal to C2. So we can set the two expressions equal to each other:

53.98 + 0.13m = 67.98 + 0.11m

Simplifying and solving for "m", we get:

0.02m = 14

m = 700

Therefore, Keith would need to drive 700 miles for the two plans to cost the same.