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Part 2

1. Calculate the population density of the following countries.

\begin{tabular}{|c|c|c|c|}
\hline
Country & Population & \begin{tabular}{c}
Land Area \\
( [tex]$km^2$[/tex] )
\end{tabular} & Density [tex]$\left( \frac{\text{Population}}{\text{Land Area}}\right)$[/tex] \\
\hline
Canada & [tex]$32,805,000$[/tex] & [tex]$9,976,140$[/tex] & \\
\hline
China & [tex]$1,306,313,800$[/tex] & [tex]$9,596,960$[/tex] & \\
\hline
Japan & [tex]$127,417,200$[/tex] & [tex]$377,835$[/tex] & \\
\hline
India & [tex]$1,080,264,400$[/tex] & [tex]$3,287,590$[/tex] & \\
\hline
Monaco & [tex]$32,410$[/tex] & [tex]$2$[/tex] & \\
\hline
Spain & [tex]$40,341,500$[/tex] & [tex]$504,782$[/tex] & \\
\hline
United Kingdom & [tex]$60,441,500$[/tex] & [tex]$244,820$[/tex] & \\
\hline
United States & [tex]$295,734,100$[/tex] & [tex]$9,629,091$[/tex] & \\
\hline
\end{tabular}

2. What does population density indicate?

3. Dispersion Patterns

Identify the type of dispersion pattern (clumped, uniform, random):

a. A bunch of mushrooms growing on a rotting log.

b. The sage plant secretes toxins, a chemical that kills off surrounding plants in a circle around the individual sage plants.

c. Dandelions have wind-dispersed seeds that germinate wherever they happen to fall in a favorable environment.

d. A herd of elephants gather around a watering hole.


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## Part 2

### 1. Calculate the population density of the following countries.
Population density is calculated as the population divided by the land area. Here are the computations for each country:

[tex]\[ \text{Density} = \frac{\text{Population}}{\text{Land Area}} \][/tex]

#### Canada

[tex]\[ \text{Density} = \frac{32,805,000}{9,976,140} \approx 3.29 \, \text{people/km}^2 \][/tex]

#### China

[tex]\[ \text{Density} = \frac{1,306,313,800}{9,596,960} \approx 136.12 \, \text{people/km}^2 \][/tex]

#### Japan

[tex]\[ \text{Density} = \frac{127,417,200}{377,835} \approx 337.23 \, \text{people/km}^2 \][/tex]

#### India

[tex]\[ \text{Density} = \frac{1,080,264,400}{3,287,590} \approx 328.59 \, \text{people/km}^2 \][/tex]

#### Monaco

[tex]\[ \text{Density} = \frac{32,410}{2} = 16,205 \, \text{people/km}^2 \][/tex]

#### Spain

[tex]\[ \text{Density} = \frac{40,341,500}{504,782} \approx 79.92 \, \text{people/km}^2 \][/tex]

#### United Kingdom

[tex]\[ \text{Density} = \frac{60,441,500}{244,820} \approx 246.88 \, \text{people/km}^2 \][/tex]

#### United States

[tex]\[ \text{Density} = \frac{295,734,100}{9,629,091} \approx 30.71 \, \text{people/km}^2 \][/tex]

Here is the updated table of densities:

| Country | Population | Land Area ([tex]$km^2$[/tex]) | Density ([tex]$people/km^2$[/tex]) |
|-----------------|------------------|--------------------|-------------------------|
| Canada | 32,805,000 | 9,976,140 | 3.29 |
| China | 1,306,313,800 | 9,596,960 | 136.12 |
| Japan | 127,417,200 | 377,835 | 337.23 |
| India | 1,080,264,400 | 3,287,590 | 328.59 |
| Monaco | 32,410 | 2 | 16,205 |
| Spain | 40,341,500 | 504,782 | 79.92 |
| United Kingdom | 60,441,500 | 244,820 | 246.88 |
| United States | 295,734,100 | 9,629,091 | 30.71 |

### 2. What does population density indicate?
Population density indicates the number of people living per unit of area, usually per square kilometer (km²). This metric helps to understand how crowded or sparsely populated a country or region is. Higher population density indicates more people living in a given area, which can impact resources, infrastructure, and quality of life. Conversely, lower population density suggests fewer people and potentially more open space and resources.

### 3. Dispersion Patterns
Identify the type of dispersion pattern (clumped, uniform, random):

a. A bunch of mushrooms growing on a rotting log.
Dispersion Pattern: Clumped

b. The sage plant secretes toxins, a chemical that kills off surrounding plants in a circle around the individual sage plants.
Dispersion Pattern: Uniform

c. Dandelions have wind-dispersed seeds that germinate wherever they happen to fall in a favorable environment.
Dispersion Pattern: Random

d. A herd of elephants gathers around a watering hole.
Dispersion Pattern: Clumped
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