Question

Christine will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven. The second plan has

an initial fee of $50 and costs an additional $0.40 per mile driven. How many miles would Christine need to drive for the two plans to cost the same?

Answer 1

Christine needs to drive 250 miles for the two plans to cost the same

Explanation:

For answering the question correctly and helping Christine, we will use the following equation:

x = number of miles driven

Cost of the first plan = 0.60x

Cost of the second plan = 50 + 0.40x

How many miles would Christine need to drive for the two plans to cost the same?

Cost of the first plan = Cost of the second plan

0.60x = 50 + 0.40x

0.60x - 0.40x = 50 (Subtracting 0.40x at both sides)

0.20x = 50

x = 50/0.2

x = 250 miles driven

Christine needs to drive 250 miles for the two plans to cost the same.