An industry whose average annual rate of change is projected to decrease the most in the 2006-2016 period is: B. Educational services.
An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a period of time.
Mathematically, the average rate of change between two (2) points can be calculated by using this expression;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Next, you should read the points on the x-axis and y-axis of your missing graph and then substitute them into formula for calculating the average rate of change.
After evaluating the equation for each period, you should get a numerical value for the average rate of change with the lowest value in comparison with the other period, which is Educational services.
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Complete Question:
Based on the above chart, which industry's average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006?
A. Utilities
B. Educational services
C. Federal government
D. State and local government
