High School

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

Identify the years with a budget surplus:
- 2001
- 2004
- 2007
- 2009

Answer :

To determine the years in which there was a budget surplus, we compare the revenue to the expenditure for each year. A surplus occurs when the revenue exceeds the expenditure. In other words, we need to verify for each year whether

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

Let’s analyze each year:

1. For 2001:
Revenue = \[tex]$8 trillion, Expenditure = \$[/tex]6 trillion
[tex]$$8 - 6 = 2.$$[/tex]
Since [tex]$2 > 0$[/tex], there is a surplus.

2. For 2002:
Revenue = \[tex]$5 trillion, Expenditure = \$[/tex]7 trillion
[tex]$$5 - 7 = -2.$$[/tex]
This is a deficit (not a surplus).

3. For 2003:
Revenue = \[tex]$8 trillion, Expenditure = \$[/tex]10 trillion
[tex]$$8 - 10 = -2.$$[/tex]
Again, a deficit.

4. For 2004:
Revenue = \[tex]$9 trillion, Expenditure = \$[/tex]7 trillion
[tex]$$9 - 7 = 2.$$[/tex]
There is a surplus.

5. For 2005:
Revenue = \[tex]$15 trillion, Expenditure = \$[/tex]18 trillion
[tex]$$15 - 18 = -3.$$[/tex]
This is a deficit.

6. For 2006:
Revenue = \[tex]$8 trillion, Expenditure = \$[/tex]10 trillion
[tex]$$8 - 10 = -2.$$[/tex]
Deficit.

7. For 2007:
Revenue = \[tex]$6 trillion, Expenditure = \$[/tex]4 trillion
[tex]$$6 - 4 = 2.$$[/tex]
There is a surplus.

8. For 2008:
Revenue = \[tex]$2 trillion, Expenditure = \$[/tex]4 trillion
[tex]$$2 - 4 = -2.$$[/tex]
Deficit.

9. For 2009:
Revenue = \[tex]$7 trillion, Expenditure = \$[/tex]4 trillion
[tex]$$7 - 4 = 3.$$[/tex]
There is a surplus.

10. For 2010:
Revenue = \[tex]$5 trillion, Expenditure = \$[/tex]9 trillion
[tex]$$5 - 9 = -4.$$[/tex]
Deficit.

After checking every year, the years with a positive surplus (i.e., where revenue exceeds expenditure) are:

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

Thus, the budget surplus occurred in the years [tex]$\boxed{2001,\ 2004,\ 2007,\ 2009}$[/tex].

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Rewritten by : Jeany