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

Answer:

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: $45+24h$

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.