Rita will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $60 and costs an additional $0.40 per mile driven. How many miles would Rita need to drive for the two plans to cost the same?

Question

Kai Mueller

Mathematics

9 April, 08:42

Rita will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $60 and costs an additional $0.40 per mile driven. How many miles would Rita need to drive for the two plans to cost the same?

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Answers (1)

Know the Answer?

Mark Roberson · Answer 1

Let M = #miles driven

Plan 1:.50M + 70 = total cost

Plan 2.70M = total cost

To know how far she would drive to have an equal cost for either plan just set the equations equal to each other

.70M =.50M + 70

subtract. 50M from both sides

.20M = 70

M = 70/.20 = 350 miles

Check the answser:

Plan 1:.50 (350) + 70 = 175 + 70 = $245

Plan 2:.7 (350) = $245

they are equal so our answer checks as correct