The table shows the federal government's budgeted revenue and expenditures from 2001 through 2010. Identify the years in which there was a budget surplus.

\begin{tabular}{|l|l|l|}
\hline
Year & Revenue & Expenditure \\
\hline
2001 & \[tex]$8 trillion & \$[/tex]6 trillion \\
\hline
2002 & \[tex]$5 trillion & \$[/tex]7 trillion \\
\hline
2003 & \[tex]$8 trillion & \$[/tex]10 trillion \\
\hline
2004 & \[tex]$9 trillion & \$[/tex]7 trillion \\
\hline
2005 & \[tex]$15 trillion & \$[/tex]18 trillion \\
\hline
2006 & \[tex]$8 trillion & \$[/tex]10 trillion \\
\hline
2007 & \[tex]$6 trillion & \$[/tex]4 trillion \\
\hline
2008 & \[tex]$2 trillion & \$[/tex]4 trillion \\
\hline
2009 & \[tex]$7 trillion & \$[/tex]4 trillion \\
\hline
2010 & \[tex]$5 trillion & \$[/tex]9 trillion \\
\hline
\end{tabular}



Answer :

To identify the years in which there was a budget surplus, we need to compare the revenue and expenditures for each year. A budget surplus occurs when the revenue exceeds the expenditures. Let's go through each year step-by-step:

1. Year 2001:
- Revenue: \[tex]$8 trillion - Expenditure: \$[/tex]6 trillion
- Since \[tex]$8 trillion > \$[/tex]6 trillion, there is a budget surplus.

2. Year 2002:
- Revenue: \[tex]$5 trillion - Expenditure: \$[/tex]7 trillion
- Since \[tex]$5 trillion < \$[/tex]7 trillion, there is no budget surplus.

3. Year 2003:
- Revenue: \[tex]$8 trillion - Expenditure: \$[/tex]10 trillion
- Since \[tex]$8 trillion < \$[/tex]10 trillion, there is no budget surplus.

4. Year 2004:
- Revenue: \[tex]$9 trillion - Expenditure: \$[/tex]7 trillion
- Since \[tex]$9 trillion > \$[/tex]7 trillion, there is a budget surplus.

5. Year 2005:
- Revenue: \[tex]$15 trillion - Expenditure: \$[/tex]18 trillion
- Since \[tex]$15 trillion < \$[/tex]18 trillion, there is no budget surplus.

6. Year 2006:
- Revenue: \[tex]$8 trillion - Expenditure: \$[/tex]10 trillion
- Since \[tex]$8 trillion < \$[/tex]10 trillion, there is no budget surplus.

7. Year 2097:
- Revenue: \[tex]$6 trillion - Expenditure: \$[/tex]4 trillion
- Since \[tex]$6 trillion > \$[/tex]4 trillion, there is a budget surplus.

8. Year 2008:
- Revenue: \[tex]$2 trillion - Expenditure: \$[/tex]4 trillion
- Since \[tex]$2 trillion < \$[/tex]4 trillion, there is no budget surplus.

9. Year 2009:
- Revenue: \[tex]$7 trillion - Expenditure: \$[/tex]4 trillion
- Since \[tex]$7 trillion > \$[/tex]4 trillion, there is a budget surplus.

10. Year 2010:
- Revenue: \[tex]$5 trillion - Expenditure: \$[/tex]9 trillion
- Since \[tex]$5 trillion < \$[/tex]9 trillion, there is no budget surplus.

Based on our comparison, the years with a budget surplus are:

- 2001
- 2004
- 2097
- 2009

Thus, the years in which there was a budget surplus are 2001, 2004, 2097, and 2009.