Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a larger population density always indicates a larger population size. …

Question

a larger population density always indicates a larger population size.

please select the best answer from the choices provided

o t
o f

Explanation:

🆕 New Concept Discovered: Population Density vs. Population Size
How crowded a space is versus the total count of individuals.

Step 1: Define the terms

To evaluate the statement, we need to understand the relationship between population size, land area, and population density:

  • Population Size: The total number of individuals in a population.
  • Population Density: The number of individuals living per unit of area. It is calculated using the formula:
$$ \text{Population Density} = \frac{\text{Population Size}}{\text{Land Area}} $$

Step 2: Analyze the relationship

Because population density depends on both the population size and the land area, a high density does not automatically mean a large total population.

For example, consider two regions:

  • Region A: A small island with a population of \( 100 \) people living in an area of \( 1 \text{ km}^2 \).
$$ \text{Density} = \frac{100}{1} = 100 \text{ people/km}^2 $$
  • Region B: A large country with a population of \( 10,000 \) people living in an area of \( 1,000 \text{ km}^2 \).
$$ \text{Density} = \frac{10,000}{1,000} = 10 \text{ people/km}^2 $$

Even though Region A has a much higher population density (\( 100 \) vs. \( 10 \)), its total population size is much smaller (\( 100 \) vs. \( 10,000 \)). Therefore, a larger population density does not always indicate a larger population size.

Answer:

F