Answer:
The equation that models the scenario is y=40x+75.
Step-by-step explanation:
Given:
Charges for a service call is $75.
Charges for per hour time spent is $40.
Now, to give an equation that models it.
So, the rate of change for additional hours means rate per hour.
Let the number of hours be [tex]x[/tex].
And the total fee charged by the plumber be [tex]y[/tex].
The slope of rate of change be [tex]m[/tex]
By putting the formula for the slope of line:
[tex]y=mx+c[/tex]
[tex]y=40x+75[/tex]
So, the slope of line of function = [tex]y=40x+75[/tex]
Therefore, the equation that models the scenario is y=40x+75.
