Lena will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.70 per mile driven. For what amount of driving do the two plans cost the same? What is the cost when the two plans cost the same

Question

Deon

Mathematics

29 September, 10:56

Lena will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $50 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.70 per mile driven. For what amount of driving do the two plans cost the same? What is the cost when the two plans cost the same

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Kaitlin Brady · Answer 1

50 + 0.50m = 0.70m

50 = 0.70m - 0.50m

50 = 0.20m

50 / 0.20 = m

250 = m ... the plans will cost the same at 250 miles <==

50 + 0.50 (250) = 50 + 125 = 175

0.70 (250) = 175

and they would both cost $ 175 <==