To determine which country has the greatest and least population density, we need to calculate the population density for each of the three countries listed in the chart. Population density is defined as the population divided by the area of the country. The formula for population density (D) is:
[tex]\[ D = \frac{\text{Population}}{\text{Area}} \][/tex]
We will use this formula to calculate the population density for Indonesia, Denmark, and Ghana.
### Step-by-Step Solution:
1. Calculate the population density for Indonesia:
- Population of Indonesia: 203,479,000
- Area of Indonesia: 1,904,569 square kilometers
- Using the formula:
[tex]\[ D_{\text{Indonesia}} = \frac{203,479,000}{1,904,569} \][/tex]
- Therefore, the population density of Indonesia is approximately [tex]\( 106.84 \)[/tex] people per square kilometer.
2. Calculate the population density for Denmark:
- Population of Denmark: 5,248,000
- Area of Denmark: 42,077 square kilometers
- Using the formula:
[tex]\[ D_{\text{Denmark}} = \frac{5,248,000}{42,077} \][/tex]
- Therefore, the population density of Denmark is approximately [tex]\( 124.72 \)[/tex] people per square kilometer.
3. Calculate the population density for Ghana:
- Population of Ghana: 18,339,000
- Area of Ghana: 237,533 square kilometers
- Using the formula:
[tex]\[ D_{\text{Ghana}} = \frac{18,339,000}{237,533} \][/tex]
- Therefore, the population density of Ghana is approximately [tex]\( 77.21 \)[/tex] people per square kilometer.
### Comparing the Population Densities:
- Indonesia: [tex]\( 106.84 \)[/tex] people per square kilometer
- Denmark: [tex]\( 124.72 \)[/tex] people per square kilometer
- Ghana: [tex]\( 77.21 \)[/tex] people per square kilometer
From the calculations above, we observe the following:
- Denmark has the greatest population density with approximately [tex]\( 124.72 \)[/tex] people per square kilometer.
- Ghana has the least population density with approximately [tex]\( 77.21 \)[/tex] people per square kilometer.
Thus, Denmark has the highest concentration of people relative to its area, while Ghana has the lowest. These conclusions are based on the calculated population densities for each country as detailed above.
