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
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute

This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour
Let, the number be "x"
Now,
according to the question,
4x -8 = x -23....................This is your equation.
Now solving it,
4x - 8 = x - 23
4x - x = -23 + 8
3x = -15
x = -15 / 3
x = -5
Checking the answer,
4 (-5) - 8 = (-5) - 23
-20 - 8 = -5 - 23
-28 = -28......................................true
Basically divide each fraction to get the simplified version of each answer. You divide each fraction by the highest multiple.
4/16 can be divided by 4 to get 1/4
12/18 can be divided by 6 to get 2/3
4/10 can be divided by 2 to get 2/5
16/20 can be divided by 4 to get 4/5