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

Answer 1

Well I believe that the equation would be

Cairo: y=45+24x

Tarantino: y=30x

The answers would be:

B. Tarantino's cost can be modeled by 30h

D. If the work takes 7 hours , Tarantino's is cheaper

Answer 2

Option B and option D are correct.

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:
`45+24h`

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

Lets check the options:

A: false.

B : true

C: false

when h = 6, for Cairo:

`45+24h`

`45+24(6)` = $189

when h = 6, for Tarantino:

`30h`

`30(6)` = $180

D: true

when h = 7, for Cairo:

`45+24h`

`45+24(7)` = $213

when h = 6, for Tarantino:

`30h`

`30(7)` = $210

E: false

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

`45+24h=30h`

=>
`30h-24h=45`

=>
`6h=45`

Dividing by 6 on both sides;

h = 7.5

So, the correct statements are :

Option B and option D.