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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.

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

Years with a budget surplus are those where revenue exceeds expenditure.

Answer :

We want to determine the years in which the federal government achieved a budget surplus. A budget surplus occurs when the revenue for a year is greater than the expenditure for that year. In other words, for a given year, if

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

then that year has a surplus.

Let's examine each year one by one:

1. 2001:
Revenue = \[tex]$8 trillion and Expenditure = \$[/tex]6 trillion.
The surplus is
[tex]$$8 - 6 = 2,$$[/tex]
which is positive. Thus, 2001 had a budget surplus.

2. 2002:
Revenue = \[tex]$5 trillion and Expenditure = \$[/tex]7 trillion.
The surplus is
[tex]$$5 - 7 = -2,$$[/tex]
which is negative. Therefore, 2002 did not have a surplus.

3. 2003:
Revenue = \[tex]$8 trillion and Expenditure = \$[/tex]10 trillion.
The surplus is
[tex]$$8 - 10 = -2,$$[/tex]
which is negative. So, no surplus in 2003.

4. 2004:
Revenue = \[tex]$9 trillion and Expenditure = \$[/tex]7 trillion.
The surplus is
[tex]$$9 - 7 = 2,$$[/tex]
which is positive. Hence, 2004 had a surplus.

5. 2005:
Revenue = \[tex]$15 trillion and Expenditure = \$[/tex]18 trillion.
The surplus is
[tex]$$15 - 18 = -3,$$[/tex]
which is negative. Thus, 2005 did not have a surplus.

6. 2006:
Revenue = \[tex]$8 trillion and Expenditure = \$[/tex]10 trillion.
The surplus is
[tex]$$8 - 10 = -2,$$[/tex]
which is negative. Therefore, no surplus in 2006.

7. 2007:
Revenue = \[tex]$6 trillion and Expenditure = \$[/tex]4 trillion.
The surplus is
[tex]$$6 - 4 = 2,$$[/tex]
which is positive. So, 2007 had a surplus.

8. 2008:
Revenue = \[tex]$2 trillion and Expenditure = \$[/tex]4 trillion.
The surplus is
[tex]$$2 - 4 = -2,$$[/tex]
which is negative. Thus, 2008 did not see a surplus.

9. 2009:
Revenue = \[tex]$7 trillion and Expenditure = \$[/tex]4 trillion.
The surplus is
[tex]$$7 - 4 = 3,$$[/tex]
which is positive. Therefore, 2009 had a surplus.

10. 2010:
Revenue = \[tex]$5 trillion and Expenditure = \$[/tex]9 trillion.
The surplus is
[tex]$$5 - 9 = -4,$$[/tex]
which is negative. So, 2010 did not have a surplus.

After reviewing all the years, we find that the years with a budget surplus are:

[tex]$$2001,\ 2004,\ 2007,\ 2009.$$[/tex]

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Rewritten by : Jeany