Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $59 and costs an additional of $0.13 per mile driven. For what about of driving do the two plans costs the same? And what is the cost when the two plans cost the same?

Question

Mathematics

Kianna Bush

28 December, 07:39

Chang will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $59 and costs an additional of $0.13 per mile driven. For what about of driving do the two plans costs the same? And what is the cost when the two plans cost the same?

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Answers (1)

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Julia · Answer 1

450 miles $117.50

Step-by-step explanation:

The difference in fixed cost is $9; the difference in per-mile cost is $0.02. The difference in per-mile cost will equal the difference in fixed cost for a distance of ...

$9.00 / ($0.02/mi) = 450 mi

At that distance, the rental cost is ...

$50 + 450*$0.15 = $50 + 67.50 = $117.50

Both plans will cost $117.50 for 450 miles of driving.