Math  /  Numbers & Operations

QuestionTwo countries have populations of about 11.3 million and 689,000 , respectively. Their areas are 8744 and 619,771 square miles, respectively. Compute the population densities of the two countries
The population density of the first country is \square people per square mile. (Type an integer or decimal rounded to the nearest tenth as needed.)

Studdy Solution

STEP 1

1. Population density is defined as the number of people per unit area (square mile in this case).
2. The first country has a population of 11.3 11.3 million and an area of 8744 8744 square miles.
3. The second country has a population of 689,000 689,000 and an area of 619,771 619,771 square miles.
4. We need to compute the population density for each country separately.

STEP 2

1. Convert populations to the same units.
2. Calculate the population density for the first country.
3. Calculate the population density for the second country.

STEP 3

Convert the population of the first country from millions to individuals.
11.3 million=11,300,000 people 11.3 \text{ million} = 11,300,000 \text{ people}

STEP 4

Calculate the population density for the first country using the formula:
Population Density=PopulationArea\text{Population Density} = \frac{\text{Population}}{\text{Area}}
For the first country:
Population Density=11,300,0008744\text{Population Density} = \frac{11,300,000}{8744}

STEP 5

Perform the division to find the population density for the first country:
Population Density1292.5 people per square mile\text{Population Density} \approx 1292.5 \text{ people per square mile}

STEP 6

Calculate the population density for the second country using the formula:
Population Density=PopulationArea\text{Population Density} = \frac{\text{Population}}{\text{Area}}
For the second country:
Population Density=689,000619,771\text{Population Density} = \frac{689,000}{619,771}

STEP 7

Perform the division to find the population density for the second country:
Population Density1.1 people per square mile\text{Population Density} \approx 1.1 \text{ people per square mile}
The population density of the first country is approximately:
1292.5 people per square mile\boxed{1292.5 \text{ people per square mile}}
The population density of the second country is approximately:
1.1 people per square mile\boxed{1.1 \text{ people per square mile}}

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