what is the greatest number of miles she can drive the rental car without spending more than 270$

Question

stella is renting a car for a business trip. the car rental agency charges flat rate of 60$ plus 0,50$ per mile for every mile she drives over 40 miles. the company will pay up to 270$

Answer 1

So, before driving any miles, Stella is paying $60. That $60 gets her 40 miles, so if m is the number of miles, she is charged 50 cents for each m - 40 miles.

 

0,5(m - 40) + 60 ≤ 270

0,5m - 20 + 60 ≤ 270

0,5m ≤ 230

m ≤ 460

 

Let's check.

 

460 - 40 = 420

420(0,5) = 210

210 + 60 = 270

 

Boom.