Car repair costs at Steves Garage can be modeled by the equation C = 200 + 50x,

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Car repair costs at Steve€™s Garage can be modeled by the equation C = 200 + 50x, and the repair costs at Greg€™s Garage can be modeled by the equation C = 375 + 25x, where x represents the number of hours of labor. The graph below shows the repair costs at Steve€™s Garage and at Greg€™s Garage for up to 5 hours of labor. Assuming this trend continues, use the substitution method to determine the number of hours of labor it would take for the total cost at each garage to be the same.

Repair Costs

600 500 Greg's Garage 400 300 Steve's Garage 200 100 0 - + + х 1 2 3 4 Number of hours of labor Cost ($)


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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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