Answer:
y = 35x + 65
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.