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

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



Answer :

To identify the years in which there was a budget deficit, we need to compare the revenue and expenditure for each year. A budget deficit occurs when the expenditure exceeds the revenue.

Let's examine each year individually:

- 2001:
- Revenue: \[tex]$8 trillion - Expenditure: \$[/tex]6 trillion
- Revenue is greater than expenditure, so there is no deficit.

- 2002:
- Revenue: \[tex]$5 trillion - Expenditure: \$[/tex]7 trillion
- Revenue is less than expenditure, so there is a deficit.

- 2003:
- Revenue: \[tex]$8 trillion - Expenditure: \$[/tex]10 trillion
- Revenue is less than expenditure, so there is a deficit.

- 2004:
- Revenue: \[tex]$9 trillion - Expenditure: \$[/tex]7 trillion
- Revenue is greater than expenditure, so there is no deficit.

- 2005:
- Revenue: \[tex]$15 trillion - Expenditure: \$[/tex]18 trillion
- Revenue is less than expenditure, so there is a deficit.

- 2006:
- Revenue: \[tex]$8 trillion - Expenditure: \$[/tex]10 trillion
- Revenue is less than expenditure, so there is a deficit.

- 2007:
- Revenue: \[tex]$6 trillion - Expenditure: \$[/tex]4 trillion
- Revenue is greater than expenditure, so there is no deficit.

- 2008:
- Revenue: \[tex]$2 trillion - Expenditure: \$[/tex]4 trillion
- Revenue is less than expenditure, so there is a deficit.

- 2009:
- Revenue: \[tex]$7 trillion - Expenditure: \$[/tex]4 trillion
- Revenue is greater than expenditure, so there is no deficit.

- 2010:
- Revenue: \[tex]$5 trillion - Expenditure: \$[/tex]9 trillion
- Revenue is less than expenditure, so there is a deficit.

So, the years in which there was a budget deficit are:
- 2002
- 2003
- 2005
- 2006
- 2008
- 2010