he 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? Write an inequality and solve.

Respuesta :

250-100 = 150

150/20 = 7.5

7 hours


inequality: 100+20x <=250


They can rent the boat for 7 hours for $ 240 in total.

Since the Mitchell family is renting a boat for the day, and the boat rental has a flat fee of $ 100 plus $ 20 for each hour, and they have to pay for a whole hour even if they are not out on the lake for a whole hour, to determine, if they want to spend $ 250 or less on the boat rental for the day, how many hours can they rent the boat, the following calculation must be performed:

  • Fixed cost + Variable cost multiplied by the number of hours = Final cost
  • 100 + 20X = 250
  • 20X = 150
  • X = 150/20
  • X = 7.5
  • 100 + 20 x 8 = 100 + 160 = 260
  • 100 + 20 x 7 = 100 + 140 = 240

So they can rent the boat for 7 hours for $ 240 in total.

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