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Amina recently moved and got a new job. The quickest way to get to work is to take a
freeway that charges a toll. There are two options for paying the tolls.
Option A: No monthly fee, each trip on the tollway is $2.80.
Option B: $30 monthly fee, each trip on the tollway is half-priced at $1.40.
a. Write a linear model for Option A showing the total cost, C, in dollars, for x trips on
the tollway.
b. Write a linear model for Option B showing the total cost, C, in dollars, for x trips on
the tollway.
c. How many trips on the tollway are needed for Option B to be cheaper? Show your
work or explain how you found this number.
d. If Amina plans to travel to and from work 5 times a week which option, should she
purchase? (assume a month has 4 weeks) Show your work and explain in words why
you choose the option that you choose.

Respuesta :

francocanacari

22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.

Since Amina recently moved and got a new job, and the quickest way to get to work is to take a freeway that charges a toll, and there are two options for paying the tolls:

Option A: No monthly fee, each trip on the tollway is $ 2.80.

Option B: $ 30 monthly fee, each trip on the tollway is half-priced at $ 1.40.

To determine how many trips on the tollway are needed for Option B to be cheaper; y, if Amina plans to travel to and from work 5 times a week, which option should she purchase; the following calculation must be performed:

  • Option A = 2.80X
  • Option B = 30 + 1.40X
  • 2.80 x 20 = 56
  • 30 + 1.40 x 20 = 58
  • 2.80 x 25 = 70
  • 30 + 1.40 x 25 = 65
  • 2.80 x 24 = 67.2
  • 30 + 1.40 x 24 = 63.6
  • 2.80 x 22 = 61.6
  • 30 + 1.40 x 22 = 60.8

Therefore, 22 trips on the tollway are needed for Option B to be cheaper. Thus, if Amina plans to travel to and from work 5 times a week (20 round trips per month, that is, 40 trips), she must choose Option B.

Learn more about maths in https://brainly.com/question/25806839

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