Lamar will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $63.96 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $49.96 and costs an additional $0.14 per mile driven. How many miles would Lamar need to drive for the two plans to cost the same?

Question

Royce

Mathematics

3 September, 03:22

Lamar will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $63.96 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $49.96 and costs an additional $0.14 per mile driven. How many miles would Lamar need to drive for the two plans to cost the same?

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Answers (1)

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Lorena Simon · Answer 1

Assume x is the distance and y the cost.

First plan:

y = 63.96 + 0.12x

Second plan:

y = 49.96 + 0.14x

Find the distance x when the cost is same.

63.96 + 0.12x = 49.96 + 0.14x

0.14x - 0.12x = 63.96 - 49.96

0.02x = 14

x = 14/0.02

x = 700 miles

Good luck