Use the chart below to answer the questions:

\begin{tabular}{|c|l|l|}
\hline
Country & \begin{tabular}{c}
Population \\
(1997 estimate)
\end{tabular} & \multicolumn{1}{c|}{\begin{tabular}{c}
Area \\
(square km)
\end{tabular}} \\
\hline
U.S. & [tex]$272,648,000$[/tex] & [tex]$9,364,520$[/tex] \\
\hline
Romania & [tex]$22,609,000$[/tex] & 237,391 \\
\hline
Ghana & [tex]$18,339,000$[/tex] & 237,533 \\
\hline
\end{tabular}

Which of these countries has the greatest population density? Which has the least? Provide an explanation and proof for your answer to receive full credit.



Answer :

To answer the question regarding which country has the greatest and the least population density, we need to calculate the population density for each country using the formula:

[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]

We'll use the given data:

1. United States:
- Population: 272,648,000
- Area: 9,364,520 square kilometers

2. Romania:
- Population: 22,609,000
- Area: 237,391 square kilometers

3. Ghana:
- Population: 18,339,000
- Area: 237,533 square kilometers

### Step-by-Step Calculations:

1. United States Population Density:
[tex]\[ \text{Population Density} = \frac{272,648,000}{9,364,520} \approx 29.12 \, (\text{people per square kilometer}) \][/tex]

2. Romania Population Density:
[tex]\[ \text{Population Density} = \frac{22,609,000}{237,391} \approx 95.24 \, (\text{people per square kilometer}) \][/tex]

3. Ghana Population Density:
[tex]\[ \text{Population Density} = \frac{18,339,000}{237,533} \approx 77.21 \, (\text{people per square kilometer}) \][/tex]

### Comparison:

- Greatest Population Density:
- Romania has the greatest population density at approximately 95.24 people per square kilometer.

- Least Population Density:
- The United States has the least population density at approximately 29.12 people per square kilometer.

### Conclusion:

By comparing the calculated population densities, Romania has the highest population density, and the United States has the lowest. This means Romania has more people living per unit area compared to the United States and Ghana, while the United States has fewer people per unit area compared to Romania and Ghana.