Answer:The cost of A plus plumbing cost for each hour of work is $140 and the one time fee is $80. The cost of quality plumbing cost for each hour of work is $200 and the one time fee is $150.Given :Two plumbing companies charge money for each hour of work, plus a one-time fee.According to the graph given, there are two points on the line, that is (1,200) and (2,250).So, the equation of the line that represents quality plumbing charges is given by:Simplify the above equation by cross multiplying.y - 200 = 50(x - 1)y - 200 = 50x - 50y = 50x + 150 --- (1)The equation of the line that represents A plus plumbing charges is given by:Simplify the above equation by cross multiplying.3(y - 140) = 180(x - 1)3y - 420 = 180x - 1803y = 180x + 240y = 60x + 80 --- (2)A) The cost of A plus plumbing cost for each hour of work is given by:y = 60(1) + 80y = $140So, the cost of A plus plumbing cost for each hour of work is $140.The one time fee is determined by substituting (x = 0) in equation (2).y = 60(0) + 80y = $80B) The cost of quality plumbing cost for each hour of work is given by:y = 50(1) + 150y = $200The one time fee is determined by substituting (x = 0) in equation (1).y = 50(0) + 150y = $150C) Given that cost of both the plumbing company are the same then the value of 'x' is given by:50x + 150 = 60x + 8070 = 10xx = 7 hoursYes, A plus plumbing and quality plumbing charge the same amount at the same amount of time of 7 hours.For more information, refer to the link given below:brainly.com/question/2263981
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