Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x ---> the number of hours spent on the client’s case each week
f(x) ----> the total charge that week in hundreds of dollars
we have
[tex]f(x)=4(x+2)[/tex]
distribute
[tex]f(x)=4x+8[/tex]
This is the equation of the line in slope intercept form
where
The slope or unit rate is
[tex]m=4[/tex]
The y-intercept or initial value is
[tex]b=8[/tex]
To graph the line we need minimum two points
Find the x-intercept
For f(x)=0
[tex]0=4x+8\\4x=-8\\x=-2[/tex]
The x-intercept is the point (-2,0)
so
we have
the points (-2,0) and (0,8)
To graph the line, plot the intercepts, connect them and join the points
The graph in the attached figure
Remember that the value of x and the value of f(x) cannot be a negative number
