Use the chart below to answer the questions:

\begin{tabular}{|c|l|l|}
\hline
Country & \multicolumn{1}{|c|}{\begin{tabular}{c}
Population \\
(1997 estimate)
\end{tabular}} & \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] & [tex]$237,391$[/tex] \\
\hline
Ghana & [tex]$18,339,000$[/tex] & [tex]$237,533$[/tex] \\
\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 find out which country has the greatest and the least population density, we need to calculate the population density for each country. Population density is defined as the population divided by the area. Let's perform these calculations step by step for each country.

1. Population Density of the U.S.:
- Population: 272,648,000
- Area: 9,364.520 square km

The population density for the U.S. is calculated as follows:
[tex]\[ \text{Density}_{\text{US}} = \frac{\text{Population}_{\text{US}}}{\text{Area}_{\text{US}}} = \frac{272,648,000}{9,364.520} \approx 29115.00 \, \text{people per square km} \][/tex]

2. Population Density of Romania:
- Population: 22,609,000
- Area: 237.391 square km

The population density for Romania is calculated as follows:
[tex]\[ \text{Density}_{\text{Romania}} = \frac{\text{Population}_{\text{Romania}}}{\text{Area}_{\text{Romania}}} = \frac{22,609,000}{237.391} \approx 95239.50 \, \text{people per square km} \][/tex]

3. Population Density of Ghana:
- Population: 18,339,000
- Area: 237.533 square km

The population density for Ghana is calculated as follows:
[tex]\[ \text{Density}_{\text{Ghana}} = \frac{\text{Population}_{\text{Ghana}}}{\text{Area}_{\text{Ghana}}} = \frac{18,339,000}{237.533} \approx 77206.11 \, \text{people per square km} \][/tex]

Now that we have calculated the population densities, we can compare them to find the country with the greatest and the least population density.

- The population density for the U.S. is approximately 29,115.00 people per square km.
- The population density for Romania is approximately 95,239.50 people per square km.
- The population density for Ghana is approximately 77,206.11 people per square km.

Comparison:
- The greatest population density is in Romania with approximately 95,239.50 people per square km.
- The least population density is in the U.S. with approximately 29,115.00 people per square km.

Conclusion:
- Greatest Population Density: Romania with 95,239.50 people per square km.
- Least Population Density: The U.S. with 29,115.00 people per square km.