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]$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 deficit, we need to compare the revenue and expenditure for each year. A budget deficit occurs when the expenditure exceeds the revenue for a given year.

Let's go through the data year by year:

- 2001: Revenue = \[tex]$8 trillion, Expenditure = \$[/tex]6 trillion (No deficit, revenue is greater than expenditure)
- 2002: Revenue = \[tex]$5 trillion, Expenditure = \$[/tex]7 trillion (Deficit, as expenditure is greater than revenue)
- 2003: Revenue = \[tex]$8 trillion, Expenditure = \$[/tex]10 trillion (Deficit, as expenditure is greater than revenue)
- 2004: Revenue = \[tex]$9 trillion, Expenditure = \$[/tex]7 trillion (No deficit, revenue is greater than expenditure)
- 2005: Revenue = \[tex]$15 trillion, Expenditure = \$[/tex]18 trillion (Deficit, as expenditure is greater than revenue)
- 2006: Revenue = \[tex]$8 trillion, Expenditure = \$[/tex]10 trillion (Deficit, as expenditure is greater than revenue)
- 2007: Revenue = \[tex]$6 trillion, Expenditure = \$[/tex]4 trillion (No deficit, revenue is greater than expenditure)
- 2008: Revenue = \[tex]$2 trillion, Expenditure = \$[/tex]4 trillion (Deficit, as expenditure is greater than revenue)
- 2009: Revenue = \[tex]$7 trillion, Expenditure = \$[/tex]4 trillion (No deficit, revenue is greater than expenditure)
- 2010: Revenue = \[tex]$5 trillion, Expenditure = \$[/tex]9 trillion (Deficit, as expenditure is greater than revenue)

The years where the federal government had a budget deficit are:

[tex]\[ 2002, 2003, 2005, 2006, 2008, 2010 \][/tex]