QuestionCalculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

Studdy Solution

STEP 1

Assumptions1. The population of Chicago in2017 was,716,450 people. The population density of Chicago in2017 was $\frac{11,898 \text { people }}{1 m i^{}}$
3. The population density is calculated as the total population divided by the total area

STEP 2

We can find the area of Chicago by dividing the total population by the population density. The formula for this is $Area = \frac{Population}{Population\, density}$

STEP 3

Now, plug in the given values for the population and population density to calculate the area.
$Area = \frac{2,716,450\, people}{\frac{11,898\, people}{1\, mi^{2}}}$

STEP 4

implify the equation by multiplying the numerator and denominator of the fraction by $1\, mi^{2}$ .
$Area = \frac{2,716,450\, people \times1\, mi^{2}}{11,898\, people}$

STEP 5

The 'people' units cancel out, leaving us with the area in square miles.
$Area = \frac{2,716,450\, mi^{2}}{11,898}$

STEP 6

Calculate the area of Chicago.
$Area = \frac{2,716,450\, mi^{2}}{11,898} \approx228.3\, mi^{2}$ The area of Chicago is approximately228.3 square miles.

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QuestionCalculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

Studdy Solution

STEP 1

Assumptions1. The population of Chicago in2017 was,716,450 people. The population density of Chicago in2017 was $\frac{11,898 \text { people }}{1 m i^{}}$
3. The population density is calculated as the total population divided by the total area

STEP 2

We can find the area of Chicago by dividing the total population by the population density. The formula for this is $Area = \frac{Population}{Population\, density}$

STEP 3

Now, plug in the given values for the population and population density to calculate the area.
$Area = \frac{2,716,450\, people}{\frac{11,898\, people}{1\, mi^{2}}}$

STEP 4

implify the equation by multiplying the numerator and denominator of the fraction by $1\, mi^{2}$ .
$Area = \frac{2,716,450\, people \times1\, mi^{2}}{11,898\, people}$

STEP 5

The 'people' units cancel out, leaving us with the area in square miles.
$Area = \frac{2,716,450\, mi^{2}}{11,898}$

STEP 6

Calculate the area of Chicago.
$Area = \frac{2,716,450\, mi^{2}}{11,898} \approx228.3\, mi^{2}$ The area of Chicago is approximately228.3 square miles.

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QuestionCalculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

Studdy Solution

STEP 1

Assumptions1. The population of Chicago in2017 was,716,450 people. The population density of Chicago in2017 was 11,898 people 1mi\frac{11,898 \text { people }}{1 m i^{}}1mi11,898 people ​3. The population density is calculated as the total population divided by the total area

STEP 2

We can find the area of Chicago by dividing the total population by the population density. The formula for this isArea=PopulationPopulation densityArea = \frac{Population}{Population\, density}Area=PopulationdensityPopulation​

STEP 3

Now, plug in the given values for the population and population density to calculate the area.Area=2,716,450 people11,898 people1 mi2Area = \frac{2,716,450\, people}{\frac{11,898\, people}{1\, mi^{2}}}Area=1mi211,898people​2,716,450people​

STEP 4

implify the equation by multiplying the numerator and denominator of the fraction by 1 mi21\, mi^{2}1mi2.Area=2,716,450 people×1 mi211,898 peopleArea = \frac{2,716,450\, people \times1\, mi^{2}}{11,898\, people}Area=11,898people2,716,450people×1mi2​

STEP 5

The 'people' units cancel out, leaving us with the area in square miles.Area=2,716,450 mi211,898Area = \frac{2,716,450\, mi^{2}}{11,898}Area=11,8982,716,450mi2​

STEP 6

Calculate the area of Chicago.Area=2,716,450 mi211,898≈228.3 mi2Area = \frac{2,716,450\, mi^{2}}{11,898} \approx228.3\, mi^{2}Area=11,8982,716,450mi2​≈228.3mi2The area of Chicago is approximately228.3 square miles.

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Assumptions1. The population of Chicago in2017 was,716,450 people. The population density of Chicago in2017 was $\frac{11,898 \text { people }}{1 m i^{}}$
3. The population density is calculated as the total population divided by the total area

We can find the area of Chicago by dividing the total population by the population density. The formula for this is $Area = \frac{Population}{Population\, density}$

Now, plug in the given values for the population and population density to calculate the area.
$Area = \frac{2,716,450\, people}{\frac{11,898\, people}{1\, mi^{2}}}$

implify the equation by multiplying the numerator and denominator of the fraction by $1\, mi^{2}$ .
$Area = \frac{2,716,450\, people \times1\, mi^{2}}{11,898\, people}$

The 'people' units cancel out, leaving us with the area in square miles.
$Area = \frac{2,716,450\, mi^{2}}{11,898}$

Calculate the area of Chicago.
$Area = \frac{2,716,450\, mi^{2}}{11,898} \approx228.3\, mi^{2}$ The area of Chicago is approximately228.3 square miles.