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Select the correct locations in the table.

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.

[tex]
\[
\begin{tabular}{|l|l|l|}
\hline
Year & Revenue & Expenditure \\
\hline
2001 & \$8 trillion & \$6 trillion \\
\hline
2002 & \$5 trillion & \$7 trillion \\
\hline
2003 & \$8 trillion & \$10 trillion \\
\hline
2004 & \$9 trillion & \$7 trillion \\
\hline
2005 & \$15 trillion & \$18 trillion \\
\hline
2006 & \$8 trillion & \$10 trillion \\
\hline
2007 & \$6 trillion & \$4 trillion \\
\hline
2008 & \$2 trillion & \$4 trillion \\
\hline
2010 & Data not available & Data not available \\
\hline
\end{tabular}
\]
[/tex]

Years with a budget surplus: 2001, 2004, 2007.

Answer :

We are given the federal government's budget data for each year with revenue and expenditure, and we want to identify the years during which there was a budget surplus. A surplus exists if the revenue exceeds the expenditures, i.e., if

[tex]$$
\text{Revenue} - \text{Expenditure} > 0.
$$[/tex]

Let’s go through each year:

1. For 2001, the revenue is \[tex]$8 trillion and the expenditure is \$[/tex]6 trillion. The difference is

[tex]$$
8 - 6 = 2 \quad (> 0),
$$[/tex]

so there is a surplus in 2001.

2. For 2002, the revenue is \[tex]$5 trillion and the expenditure is \$[/tex]7 trillion. The difference is

[tex]$$
5 - 7 = -2 \quad (< 0),
$$[/tex]

indicating a deficit.

3. For 2003, the revenue is \[tex]$8 trillion and the expenditure is \$[/tex]10 trillion. The difference is

[tex]$$
8 - 10 = -2 \quad (< 0),
$$[/tex]

indicating a deficit.

4. For 2004, the revenue is \[tex]$9 trillion and the expenditure is \$[/tex]7 trillion. The difference is

[tex]$$
9 - 7 = 2 \quad (> 0),
$$[/tex]

so there is a surplus in 2004.

5. For 2005, the revenue is \[tex]$15 trillion and the expenditure is \$[/tex]18 trillion. The difference is

[tex]$$
15 - 18 = -3 \quad (< 0),
$$[/tex]

indicating a deficit.

6. For 2006, the revenue is \[tex]$8 trillion and the expenditure is \$[/tex]10 trillion. The difference is

[tex]$$
8 - 10 = -2 \quad (< 0),
$$[/tex]

indicating a deficit.

7. For 2007, the revenue is \[tex]$6 trillion and the expenditure is \$[/tex]4 trillion. The difference is

[tex]$$
6 - 4 = 2 \quad (> 0),
$$[/tex]

so there is a surplus in 2007.

8. For 2008, the revenue is \[tex]$2 trillion and the expenditure is \$[/tex]4 trillion. The difference is

[tex]$$
2 - 4 = -2 \quad (< 0),
$$[/tex]

indicating a deficit.

Thus, the budget surpluses occurred in the years when the difference was positive. These years are:

[tex]$$
2001, \quad 2004, \quad 2007.
$$[/tex]

So the final answer is that there was a budget surplus in the years 2001, 2004, and 2007.

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Rewritten by : Jeany