To determine the population density, you need to divide the population by the land area. Here is a step-by-step guide to solve this problem:
1. Identify the population and land area:
- Population of Miami in 2024: [tex]\( 456,229 \)[/tex] people
- Total land area of Miami: [tex]\( 55.25 \)[/tex] square miles
2. Understand the formula for population density:
Population density is calculated using the formula:
[tex]\[
\text{Population Density} = \frac{\text{Population}}{\text{Land Area}}
\][/tex]
3. Substitute the given values into the formula:
- Population ([tex]\( P \)[/tex]) = 456,229
- Land Area ([tex]\( A \)[/tex]) = 55.25 square miles
[tex]\[
\text{Population Density} = \frac{456,229 \text{ people}}{55.25 \text{ square miles}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Population Density} = \frac{456,229}{55.25}
\][/tex]
Calculating this value gives:
[tex]\[
\text{Population Density} \approx 8,259.49 \text{ people per square mile}
\][/tex]
So, the population density of Miami in 2024 is approximately [tex]\(8,259.49\)[/tex] people per square mile.
