Answered

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A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours. What graph models the total cost?

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Answer:

y = 35x + 65

Step-by-step explanation:

Given the plumber's $65 fee for each repair, plus $35 per hour:

y = total cost of a repair

x = number of hours

The $35 represents the rate of change (or the slope), which is the increase in cost for every x hour of plumbing repairs.

The $65 fee represents the plumber's intial amount for working on plumbing work or repairs (also known as the y-intercept).  This means that the plumber will charge his customers a flat fee of $65, even before starting his plumbing repairs.  

The linear equation to represent the total cost of working x number of hours on plumbing repairs is:  y = 35x + 65.

To graph this linear model, start by plotting point (0, 65), which represents the y-intercept.  Then, use the slope, m = 35/1 (rise over run) to plot other points on the graph.

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