Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $41.98 and costs an additional 0.16 per mile driven. The second plan has an initial fee of $51.98 and costs an additional 0.12 per mile driven. How many miles would Sam need to drive for the two plans to cost the same?

Question

Mathematics

Maddison Rhodes

23 June, 19:43

Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $41.98 and costs an additional 0.16 per mile driven. The second plan has an initial fee of $51.98 and costs an additional 0.12 per mile driven. How many miles would Sam need to drive for the two plans to cost the same?

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Answers (1)

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Callie Finley · Answer 1

250 miles

Step-by-step explanation:

let n be the number of miles

first plan: cost = 41.98 + 0.16n

second plan: cost = 51.98 + 0.12n

for the same cost, equate the two equations above

41.98 + 0.16n = 51.98 + 0.12n

0.16n - 0.12n = 51.98 - 41.98

0.04n = 10

n = 10/0.04

n = 250