\begin{tabular}{|l|r|}
\hline
\multicolumn{2}{|c|}{\begin{tabular}{l}
Sources of Local Government Funds \\
(2010)
\end{tabular}} \\
\hline
Michigan citizens & [tex]$\$[/tex] 14.3[tex]$ billion \\
\hline
Federal government & $[/tex]\[tex]$ 2.6$[/tex] billion \\
\hline
State government & [tex]$\$[/tex] 8.0[tex]$ billion \\
\hline
Other sources & $[/tex]\[tex]$ 3.2$[/tex] billion \\
\hline
TOTAL REVENUE & [tex]$\$[/tex] 28.1$ billion \\
\hline
\end{tabular}

Which conclusion about Michigan's local governments does this data support?

A. They do not rely on taxes collected from citizens.
B. Their funds are quickly rising over time.
C. They need to request more funds from the federal government.
D. The federal government provides the smallest percentage of funding.



Answer :

Let's examine how the funds are distributed among the various sources to draw a conclusion regarding Michigan's local governments.

1. Michigan Citizens' Contribution:
- Amount: [tex]$14.3$[/tex] billion
- To find the percentage contribution, we use the given data:
[tex]\[ \frac{\$14.3 \text{ billion}}{\$28.1 \text{ billion}} \times 100 \approx 50.89\% \][/tex]

2. Federal Government's Contribution:
- Amount: [tex]$2.6$[/tex] billion
- To find the percentage contribution, we use the given data:
[tex]\[ \frac{\$2.6 \text{ billion}}{\$28.1 \text{ billion}} \times 100 \approx 9.25\% \][/tex]

3. State Government's Contribution:
- Amount: [tex]$8.0$[/tex] billion
- To find the percentage contribution, we use the given data:
[tex]\[ \frac{\$8.0 \text{ billion}}{\$28.1 \text{ billion}} \times 100 \approx 28.47\% \][/tex]

4. Other Sources' Contribution:
- Amount: [tex]$3.2$[/tex] billion
- To find the percentage contribution, we use the given data:
[tex]\[ \frac{\$3.2 \text{ billion}}{\$28.1 \text{ billion}} \times 100 \approx 11.39\% \][/tex]

Comparing these percentages, we can see the following breakdown:

- Michigan citizens contribute approximately [tex]\(50.89\%\)[/tex] of the total funds.
- The Federal government contributes approximately [tex]\(9.25\%\)[/tex].
- The State government contributes approximately [tex]\(28.47\%\)[/tex].
- Other sources contribute approximately [tex]\(11.39\%\)[/tex].

From these calculations, we can see that the Federal government provides the smallest percentage of funding, with approximately [tex]\(9.25\%\)[/tex].

Therefore, the conclusion supported by this data is:
"The federal government provides the smallest percentage of funding."