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Stella is renting a car for a business trip. The car rental agency charges a flat rate of $60 plus $0.50 per mile for every mile she drives over 40 miles. Stella's company will pay up to $270, excluding the cost of gasoline, for the us. of the rental car. What is the greatest number of miles Stella can drive the rental car without spending more than $270?

Respuesta :

mhanifa

460 miles

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Use the following inequality that represents the problem:

  • 0.5m + 60 ≤ 270, where m is the number of miles

Solve it in below steps:

  • 0.5m ≤ 210
  • m ≤ 210/0.5
  • m ≤ 420

Since 40 miles included in the flat rate charge, add this to the number of miles:

  • 420 + 40 = 460

Hence the greatest number of miles Stella can drive is 460.

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