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A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline.
a. Find the cost of filling your gas tank if it is already 38 38 full.
b. You take a trip of length 705 miles. How much money do you spend on gasoline?

Respuesta :

Answer:

  • $48.88 required to fill the gas tank if it is already 38% full.
  • $72.46 is spends on that trip.

Step-by-step explanation:

Given that

  • A gallon of gasoline costs $2.96.
  • Gas tank capacity of the given car = 25 gallon
  • That car can travelled 28.8 miles on each gallon of gasoline.

To find

  • The cost of filling your gas tank if it is already 38 % full.
  • How much money spend on gasoline on the trip of 705 miles.

So according the question

We have

  • 1 gallon of gasoline =  $2.96.
  • Gas tank capacity = 25 gallon.
  • 28.8 miles travelled on each gallon of gasoline.

Now, for finding

a.) The cost of filling your gas tank if it is already 38 % full.

      38 % of 25 gallon = 9.5 gallon

      the unfilled part of the tank  = 25-9.5 = 15.5 gallon

      So the tank can filled 15.5 gallon of gasoline more now.

      The cost of 15.5 gallon of gasoline

                                   = 15.5 × cost of 1 gallon of gasoline

                                   = 15.5 × 2.96

                                   = $45.88

  • $48.88 required to fill the gas tank if it is already 38% full.

b.) How much money spend on gasoline on the trip of 705 miles.

    ∵ Car can travelled in 1 gallon of gasoline = 28.8 miles.

    ∴ Gasoline required to travel 705 miles = [tex]\frac{705}{28.8}[/tex]

                                                                        = 24.48 gallon.

      The cost of 24.48 gallon of gasoline

                                   = 24.48 × cost of 1 gallon of gasoline

                                   = 24.48 × 2.96

                                   = $72.46    

  • $72.46 is spends on that trip.

To learn more money spend type problem please click the link

https://brainly.com/question/1033867

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