Answer: [tex]Rate\ of\ change=20[/tex]
Step-by-step explanation:
The Slope-Intercept form of an equation of a line is the following:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
By definition, the slope is:
[tex]m=\frac{change\ in\ y}{change\ in\ x}[/tex]
Since the rate of change shows how a quantity changes in relation to another quantity, this is:
[tex]Rate\ of\ change=m=\frac{change\ in\ y}{change\ in\ x}[/tex]
You must remember that It is a constant.
According to the information given in the exercise, a piece of the machinery loses $20 in value every month (Notice that this is constant) and its value after "m" months of service is $1,475.
Therefore, you can identify that:
[tex]m=20[/tex]
Then, you get that the rate of change in this situation is:
[tex]Rate\ of\ change=m=20[/tex]
