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You need to hire an electrician to install new wiring in your house. Electrician A charges $75 plus 45 per hour. Electrician B charges $100 plus $40 per hour. (A). Write a system of equations for this situation. (B). For how many hours of work are the total costs the same for both electricians?

Respuesta :

adioabiola

The equations take a linear form and are as follows; Part A.

  • Electrician A; c = 75 + 45h....eqn(1)
  • Electrician B; c = 100 + 40h....eqn(2)

Part B: It takes 5 Hours of work for the total costs to be the same.

The point at which the total costs are the same for both electricians is at;

  • 75 + 45h = 100 + 40h

  • 45h - 40h = 100 - 75

  • 5h = 25

h = 5hours.

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