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Business A charges $50 a service call, plus an additional $36 per hour for labor.Business B charges $35 service call , plus an additional $39 per hour for labor what's a system to represent the situation

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Final answer:

To represent the situation, we can use a system of linear equations. The variables x, y, and z represent the number of hours of labor, the total cost for Business A, and the total cost for Business B, respectively. The system of equations is y = 50 + 36x and z = 35 + 39x.

Step-by-step explanation:

To represent the situation, we can use a system of linear equations. Let's define the variables:

  • x: the number of hours of labor
  • y: the total cost for Business A
  • z: the total cost for Business B

For Business A, the total cost can be represented as y = 50 + 36x. For Business B, the total cost can be represented as z = 35 + 39x. Therefore, the system of equations to represent the situation is:

y = 50 + 36x

z = 35 + 39x

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