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Dominica uses a ride service to get to different places in her city. If Dominica uses Uber, the charge will $5.00 plus $1.50 per mile and can be represented by the equation, money spent = $5.00 + $1.5m. If Dominica uses Lift, the charge will $2.00 per mile and can be represented by the equation, money spent = $2.00m. Let the variable m represent the number of miles traveled. Which of the following statements are true? Select all that apply. The Town Center is 7 miles from work. It will be cheaper for her to use Lift. Dominica lives 5 miles from work. It will be cheaper for her to use Uber. The beach is 20 miles away. It is cheaper for her to ride with Uber. The price for 10 miles is the same for both companies.

Sagot :

From the linear functions, the correct statements are:

  • The Town Center is 7 miles from work. It will be cheaper for her to use Lift.  
  • The beach is 20 miles away. It is cheaper for her to ride with Uber.
  • The price for 10 miles is the same for both companies.

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The cost of Uber, for m miles is:

[tex]U(m) = 5 + 1.5m[/tex]

For Lift, it is:

[tex]L(m) = 2m[/tex]

Town Center is 7 miles away, the costs are:

[tex]U(7) = 5 + 1.5(7) = 5 + 10.5 = 15.5[/tex]

[tex]L(7) = 2(7) = 14[/tex]

Lift is cheaper, thus the first statement is correct.

Work is 5 miles away, then:

[tex]U(5) = 5 + 1.5(5) = 5 + 7.5 = 12.5[/tex]

[tex]L(5) = 2(5) = 10[/tex]

Lift is cheaper, thus the second statement is incorrect.

Beach is 20 miles away, then:

[tex]U(20) = 5 + 1.5(20) = 5 + 30 = 35[/tex]

[tex]L(20) = 2(20) = 40[/tex]

Uber is cheaper, thus the third statement is correct.

For 10 miles:

[tex]U(10) = 5 + 1.5(10) = 5 + 15 = 20[/tex]

[tex]L(10) = 2(10) = 20[/tex]

Same costs, thus, the fourth statement is correct.

A similar problem is given at https://brainly.com/question/24742848

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