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

Question

Janiya Aguirre

Mathematics

8 February, 04:48

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

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Answers (1)

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Giovani Grimes · Answer 1

270 = 60 + 0.50 (x-40)

270 = 60 + 0.50x - 20

210 = 0.50x - 20

230=0.50x

x=230/0.50 = 460 miles

check:

460-40 = 420

420*0.50=210 + 60=270

she can drive 460 miles total