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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?

Respuesta :

sqdancefan

Answer:

  • 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.