Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $50 , and then they charge her $8 per hour. She has $150 available to spend on car rental. What is the greatest number of hours for which she can rent the car?

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The greatest amount of hours she can rent the car for is 12.5 because 8x12.5+50=150

Based on the rental fee and the initial fee, the greatest number of hours she can rent the car is 12 hours.

Esmeralda has $150 to spend on the car rental. After the initial fee, she will have:

= 150 - 50

= $100

She has $100 to spend on the hourly charge so the greatest number of hours she can rent the car is:

= Amount to spend / Hourly charge

= 100 / 8

= 12.5 hours

= 12 hours

In conclusion, Esmeralda can rent for a maximum of 12 hours.

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