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The Adam’s family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours. If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Formulate an inequality and solve.

Respuesta :

ussfleader14

Answer:

250 = 100 + 20x

x = Hours

x = 7 hours

Step-by-step explanation:

mathstudent55

Answer:

at most 7 hours

Step-by-step explanation:

Fixed cost: $100

Cost per hour: $20

For x hours, the hourly cost is 20x

Total cost: 20x + 100

The total cost must be less than or equal to $250.

20x + 100 = 250

20x = 150

x = 7.5

If they could pay for part of an hour, then they could rent the boat for 7.5 hours. Since they can't, by using the boat 7.5 hours, they'd have to pay for 8 hours.

8 * $20 = $160

$160 + $100 = $260

By using the boat 7.5 hours, they exceed the $250 maximum. Therefore, they can rent for a maximum of 7 hours.

Answer: 7 hours

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