Question 1196548
<font color=black size=3>
Here's a similar example.


Question:
Let f(x) = x^2+7
Find the average rate of change from x = 3 to x = 5


Solution:
Plug in x = 3
f(3) = 3^2+7 = 9+7 = 16
Repeat for x = 5
f(5) = 5^2+7 = 25+7 = 32
These are the y values for the mentioned x inputs.


The two points (3,16) and (5,32) are on the function curve x^2+7


The task of finding the average rate of change is exactly the same as finding the slope of the line through those two points.


m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (32-16)/(5-3)
m = 16/2
m = 8


The slope of the line through (3,16) and (5,32) is 8, which is the average rate of change. 
A real world application would be to look at the average speed of a car over some set amount of time.


Answer:  8


Keep in mind that this is of course just an example and not the answer to your question in particular. 
However, you'll follow this same basic outline of steps. 
</font>