\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline Other services & [tex]$5,434.9$[/tex] & [tex]$6,234.6$[/tex] & [tex]$7,077.2$[/tex] & 799.7 & 842.6 & 1.4 & 1.3 \\
\hline Federal government & [tex]$2,877.0$[/tex] & [tex]$2,728.3$[/tex] & [tex]$2,625.7$[/tex] & -148.7 & -102.6 & -0.5 & -0.4 \\
\hline State and local government & [tex]$16,662.1$[/tex] & [tex]$19,261.7$[/tex] & [tex]$20,696.1$[/tex] & [tex]$2,599.6$[/tex] & [tex]$1,434.4$[/tex] & 1.5 & 0.7 \\
\hline
\end{tabular}

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

Please select the best answer from the choices provided:
A
B
C
D



Answer :

To determine which industry's average annual rate of change is projected to decrease the most during the 2006-2016 period as compared to the 1996-2006 period, we will look at the information provided in the chart.

1. First, we need to identify the average annual rate of change for each industry in both periods, which is already given in the chart.

2. Then, we calculate the difference (or change) in the average annual rate between these two periods for each industry.

3. We compare these differences to find the largest decrease.

For the Federal government:
- Average annual rate of change from 1996-2006: -0.5
- Average annual rate of change from 2006-2016: -0.4
- Difference: -0.4 - (-0.5) = -0.4 + 0.5 = 0.1 (Note that this is actually an increase)

For the State and local government:
- Average annual rate of change from 1996-2006: 1.5
- Average annual rate of change from 2006-2016: 0.7
- Difference: 0.7 - 1.5 = -0.8

Comparing these,
- The change for the Federal government is 0.1 (an increase).
- The change for the State and local government is -0.8 (a decrease).

Therefore, the largest decrease in the average annual rate of change is for the State and local government.

So, the best answer is:
d. State and local government

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