Question

Martina will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.70 per mile driven. The second plan has an initial fee of $60 and costs an additional $0.50 per mile driven. How many miles would Martina need to drive for the two plans to cost the same?

Answer 1

300 miles

Step-by-step explanation:

let the number of miles = m

Total cost = cost per mile(number of miles) + initial fee

1st plan:

initial fees = 0

cost per mile = $0.70

Total cost = 0.7(m) + 0

Total cost = 0.7m

2nd plan:

initial fees =$60

cost per mile = $0.50

Total cost = 0.5(m) + 60

Total cost = 0.5m + 60

For the two plans to cost the same, we would equate their total cost

1st plan total cost = 2nd plan total cost

0.7m = 0.5m + 60

0.7m - 0.5m = 60

0.2m = 60

divide both sides by 0.2:

m = 60/0.2

m = 300

Martha needs to drive 300 miles for the two plans to cost the same