Samuel's air conditioning unit stopped working. He has to find a repair company to fix the unit. He decides to compare the costs of two companies based on their service fees and labor costs.
Cool Ar Plus charges a $25 service fee for coming out to the house. They also charge $25 per hour of work that they perform
- Cool Breeze Ar charges a $40 service fee for coming out to the house. They also charge $15 per hour of work that they perform
The system of linear equations shown can be used to represent this situation. In the system of linear equations, h represents the amount time (in hours) It takes the company to perform the work and C
the total cost in dollars) of the air conditioning work performed by the company
25h + 25 = c
15h + 40 = C
- Determine the point in time, in hours, when the two companies cost the same amount of money.
- Identify the cost of the repairs, in dollars, when the two companies cost the same amount of money,
Show your work or explain how you determined your answers.
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