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: [tex]45+24h[/tex]
Tarantino’s Car Garage offers a free estimate and it charges $30 per additional hour of work. Equation becomes: [tex]30h[/tex]
Lets check the options:
A: false.
B : true
C: false
when h = 6, for Cairo:
[tex]45+24h[/tex]
[tex]45+24(6)[/tex] = $189
when h = 6, for Tarantino:
[tex]30h[/tex]
[tex]30(6)[/tex] = $180
D: true
when h = 7, for Cairo:
[tex]45+24h[/tex]
[tex]45+24(7)[/tex] = $213
when h = 6, for Tarantino:
[tex]30h[/tex]
[tex]30(7)[/tex] = $210
E: false
We will equal both the equations and find the value of h.
[tex]45+24h=30h[/tex]
=> [tex]30h-24h=45[/tex]
=> [tex]6h=45[/tex]
Dividing by 6 on both sides;
h = 7.5
So, the correct statements are :
Option B and option D.
