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The Mitchell 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?

Respuesta :

Answer:

Step-by-step explanation:

Let x represent the number of hours for which the Mitchell family is renting a boat for the day.

The boat rental has a flat fee of $100 plus $20 for each hour. This means that the cost of renting the boat for x hours in a day would be

20x + 100

If they want to spend $250 or less on the boat rental for the day, the expression would be

20x + 100 ≤ 250

20x ≤ 250 - 100

20x ≤ 150

x ≤ 150/20

x ≤ 7.5

Therefore, they can only rent the boat for 7 hours because the cost of renting it for 7.5 hours is

100 + 8 × 20 = 100 + 160 = $260

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