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}} & \multicolumn{1}{c|}{\begin{tabular}{c}
Area \\
(square km)
\end{tabular}} \\
\hline
Indonesia & [tex]$203,479,000$[/tex] & [tex]$1,904,569$[/tex] \\
\hline
Denmark & [tex]$5,248,000$[/tex] & [tex]$42,077$[/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 determine which country has the greatest and least population density, let's calculate the population density for each country separately using the formula:

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

Here's a step-by-step calculation for each country:

1. Indonesia
- Population: 203,479,000
- Area: 1,904,569 square kilometers
- Population density:
[tex]\[ \frac{203,479,000}{1,904,569} \approx 106.837 \text{ people per square kilometer} \][/tex]

2. Denmark
- Population: 5,248,000
- Area: 42,077 square kilometers
- Population density:
[tex]\[ \frac{5,248,000}{42,077} \approx 124.724 \text{ people per square kilometer} \][/tex]

3. Ghana
- Population: 18,339,000
- Area: 237,533 square kilometers
- Population density:
[tex]\[ \frac{18,339,000}{237,533} \approx 77.206 \text{ people per square kilometer} \][/tex]

Now, we compare the population densities to determine which is the greatest and which is the least:

- Population densities:
- Indonesia: 106.837 people/sq km
- Denmark: 124.724 people/sq km
- Ghana: 77.206 people/sq km

From these calculations:

- The greatest population density is in Denmark, with approximately 124.724 people per square kilometer.
- The least population density is in Ghana, with approximately 77.206 people per square kilometer.

Hence, Denmark has the greatest population density, and Ghana has the least population density among the three countries listed.