# Mercedes is going to have her car fixed. Cairo Prince Auto tech charges\$45 for an estimate of plus \$24 per additional hour of work. Tarantino’s Car Garage offers a free estimate and it charges \$30 per additional hour of work. Which of the following statements are true? Select all that apply

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## Question:

Mercedes is going to have her car fixed. Cairo Prince Auto tech charges\$45 for an estimate of plus \$24 per additional hour of work. Tarantino’s Car Garage offers a free estimate and it charges \$30 per additional hour of work. Which of the following statements are true? Select all that apply

Option B and option D are correct.

Step-by-step explanation:

Let the additional number of hours be h.

Cairo Prince Auto tech charges \$45 for an estimate plus \$24 per additional hour of work. Equation becomes:

Tarantino’s Car Garage offers a free estimate and it charges \$30 per additional hour of work. Equation becomes:

Lets check the options:

A: false.

B : true

C: false

when h = 6, for Cairo:

= \$189

when h = 6, for Tarantino:

= \$180

D: true

when h = 7, for Cairo:

= \$213

= \$210

E: false

We will equal both the equations and find the value of h.

=>

=>

Dividing by 6 on both sides;

h = 7.5

So, the correct statements are :

Option B and option D.

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