Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=40\ \$/h\\b=\$25[/tex]
substitute
[tex]y=40x+25[/tex]
This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour
