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Daniel has a choice of where to get his car repaired. Expert autos charges a diagnostic fee of $50 plus $60 per hour in labor. Auto Specialists charge $80 per hour in labor. At how many hours would they both charge the same

Respuesta :

Answer: 2.5 hours

Step-by-step explanation:

let x = hours

80x = 50 + 60x

20x = 50 subtract 60x from both sides

x = 2.5 hours

check

80(2.5) = 50 + 60(2.5)

200 = 50 + 150

200 = 200

semsee45

Answer:

2.5 hours

Step-by-step explanation:

Given information:

  • Expert autos charges a diagnostic fee of $50 plus $60 per hour in labor.
  • Auto Specialists charge $80 per hour in labor.

Define the variables:

  • Let x = the number of hours labor.
  • Let y = the total charge (in dollars).

Create two equations with the given information and defined variables to model the total charge per garage.

Expert Autos

[tex]y=60x+50[/tex]

Auto Specialists

[tex]y=80x[/tex]

To find at how many hours would they both charge the same, substitute the second equation into the first and solve for x:

[tex]\implies 80x=60x+50[/tex]

[tex]\implies 20x=50[/tex]

[tex]\implies x=2.5[/tex]

Therefore, both garages would charge the same at 2.5 hours.

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