Let's determine which of the three countries—U.S., Romania, or Ghana—has the greatest and least population densities based on their population and area.
### Definitions
First, understand that population density is defined as the number of people per unit area. It is calculated using the formula:
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]
### Given Data
From the chart, we have:
- U.S.
- Population: 272,648,000
- Area: 9,364,520 square km
- Romania
- Population: 22,609,000
- Area: 237,391 square km
- Ghana
- Population: 18,339,000
- Area: 237,533 square km
### Step-by-Step Calculations
1. Population Density of the U.S.:
[tex]\[ \text{Density}_{\text{U.S.}} = \frac{272,648,000}{9,364,520} = 29.115 \text{ people per square kilometer} \][/tex]
2. Population Density of Romania:
[tex]\[ \text{Density}_{\text{Romania}} = \frac{22,609,000}{237,391} = 95.239 \text{ people per square kilometer} \][/tex]
3. Population Density of Ghana:
[tex]\[ \text{Density}_{\text{Ghana}} = \frac{18,339,000}{237,533} = 77.206 \text{ people per square kilometer} \][/tex]
These calculations yield the following population densities:
- U.S.: 29.115 people per square kilometer
- Romania: 95.239 people per square kilometer
- Ghana: 77.206 people per square kilometer
### Determining the Greatest and Least Population Densities
By comparing the population densities:
- The greatest population density is found in Romania at 95.239 people per square kilometer.
- The least population density is found in the U.S. at 29.115 people per square kilometer.
### Conclusion
To conclude, based on the given population and area data:
- Romania has the greatest population density with 95.239 people per square kilometer.
- The U.S. has the least population density with 29.115 people per square kilometer.
This explanation and proof should provide a clear understanding of how to compute and compare the population densities to determine which country has the greatest and least densities.
