What is the population density (people/mi²) of a location with a population of [tex]$17,593,447$[/tex] in an area size of 75,113 square miles?

A. 234.23
B. 244.33
C. 254.21
D. 264.34



Answer :

To find the population density, you need to follow these steps:

1. Understand the Concept of Population Density:
Population density is calculated as the number of people living per unit area. The formula for population density is:
[tex]\[ \text{Population Density} = \frac{\text{Total Population}}{\text{Total Area Size}} \][/tex]

2. Substitute the Given Values:
- Total Population: 17,593,447 people
- Total Area Size: 75,113 square miles

3. Plug the Values into the Formula:
[tex]\[ \text{Population Density} = \frac{17,593,447 \text{ people}}{75,113 \text{ square miles}} \][/tex]

4. Calculate the Population Density:
[tex]\[ \text{Population Density} = \frac{17,593,447}{75,113} \][/tex]

After performing this division, you get a result of:
[tex]\[ \text{Population Density} \approx 234.23 \text{ people per square mile} \][/tex]

5. Selecting the Correct Answer:
The result from your calculation is approximately 234.23 people per square mile. We now compare this with the provided options to find the correct one:

- 234.23
- 244.33
- 254.21
- 264.34

The correct answer is 234.23.

Thus, the population density of the location is 234.23 people per square mile.