The Population Growth Table

Oct 13, 2025 by wbrum.org 44 views

Introduction

The population of deer in a national preserve is a crucial aspect of conservation efforts. Understanding the growth and decline of deer populations can help wildlife managers make informed decisions about habitat management, hunting regulations, and other conservation strategies. In this article, we will explore the population growth of deer in a national preserve using a table that shows the population in hundreds, t years after the opening of the nature preserve.

The Population Growth Table

Year (t)	Population (p(t))
0	100
1	120
2	140
3	160
4	180
5	200

Analyzing the Population Growth

From the table, we can see that the population of deer in the national preserve is increasing over time. The population starts at 100 hundred deer at the opening of the preserve (t = 0) and increases by 20 hundred deer each year. This represents a growth rate of 20% per year.

Selecting the Correct Answer

To determine the correct answer, we need to analyze the population growth pattern and select the option that best represents the growth rate. The options are:

A) The population is decreasing at a rate of 20% per year.
B) The population is increasing at a rate of 10% per year.
C) The population is increasing at a rate of 20% per year.
D) The population is increasing at a rate of 30% per year.

Option Analysis

Let's analyze each option to determine the correct answer.

Option A: The population is decreasing at a rate of 20% per year.

This option is incorrect because the population is increasing, not decreasing. A decrease of 20% per year would result in a population of 80 hundred deer at t = 1, which is not the case.

Option B: The population is increasing at a rate of 10% per year.

This option is incorrect because the population is increasing at a rate of 20% per year, not 10%. A growth rate of 10% per year would result in a population of 110 hundred deer at t = 1, which is not the case.

Option C: The population is increasing at a rate of 20% per year.

This option is correct because the population is increasing at a rate of 20% per year. This can be seen in the table, where the population increases by 20 hundred deer each year.

Option D: The population is increasing at a rate of 30% per year.

This option is incorrect because the population is increasing at a rate of 20% per year, not 30%. A growth rate of 30% per year would result in a population of 132 hundred deer at t = 1, which is not the case.

Conclusion

In conclusion, the correct answer is option C) The population is increasing at a rate of 20% per year. This option accurately represents the population growth pattern in the table. Understanding population growth is crucial for conservation efforts, and selecting the correct answer can help wildlife managers make informed decisions about habitat management and other conservation strategies.

Mathematical Representation

The population growth can be represented mathematically using the exponential growth equation:

p(t) = p0 * e^(rt)

where p(t) is the population at time t, p0 is the initial population, e is the base of the natural logarithm, r is the growth rate, and t is time.

In this case, the initial population p0 is 100 hundred deer, the growth rate r is 20% per year, and time t is in years. Plugging in these values, we get:

p(t) = 100 * e^(0.2t)

This equation represents the population growth of deer in the national preserve over time.

Real-World Applications

Understanding population growth is crucial for conservation efforts in national preserves. By analyzing the population growth pattern, wildlife managers can make informed decisions about habitat management, hunting regulations, and other conservation strategies. For example, if the population is increasing at a rate of 20% per year, the manager may need to implement measures to control the population, such as reducing the number of deer that can be hunted or implementing birth control measures.

Conclusion

Introduction

In our previous article, we explored the population growth of deer in a national preserve using a table that shows the population in hundreds, t years after the opening of the nature preserve. We analyzed the population growth pattern and selected the correct answer, which was option C) The population is increasing at a rate of 20% per year. In this article, we will answer some frequently asked questions about population growth in a national preserve.

Q: What is population growth?

A: Population growth refers to the increase in the number of individuals in a population over time. In the context of a national preserve, population growth refers to the increase in the number of deer in the preserve over time.

Q: What are the factors that affect population growth?

A: There are several factors that can affect population growth, including:

Birth rate: The number of births per year
Death rate: The number of deaths per year
Immigration: The number of individuals that move into the population from outside the preserve
Emigration: The number of individuals that move out of the population from the preserve
Habitat quality: The quality of the habitat, including factors such as food availability, water quality, and shelter

Q: How can population growth be measured?

A: Population growth can be measured using several methods, including:

Counting: Counting the number of individuals in the population at regular intervals
Mark-release-recapture: Marking a sample of individuals, releasing them, and then recapturing them to estimate the population size
Remote sensing: Using satellite or aerial imagery to estimate the population size

Q: What are the benefits of understanding population growth?

A: Understanding population growth is crucial for conservation efforts in national preserves. By analyzing the population growth pattern, wildlife managers can make informed decisions about habitat management, hunting regulations, and other conservation strategies. For example, if the population is increasing at a rate of 20% per year, the manager may need to implement measures to control the population, such as reducing the number of deer that can be hunted or implementing birth control measures.

Q: What are some common challenges associated with population growth?

A: Some common challenges associated with population growth include:

Overcrowding: When the population grows too large, it can lead to overcrowding, which can result in reduced habitat quality and increased competition for resources
Resource depletion: When the population grows too large, it can lead to resource depletion, which can result in reduced food availability and other resources
Disease transmission: When the population grows too large, it can lead to increased disease transmission, which can result in reduced population health and increased mortality

Q: How can population growth be managed?

A: Population growth can be managed using several methods, including:

Habitat management: Managing the habitat to reduce overcrowding and resource depletion
Hunting regulations: Implementing hunting regulations to reduce the population size
Birth control measures: Implementing birth control measures, such as sterilization or birth control pills, to reduce the population size
Translocation: Translocating individuals from the preserve to other areas to reduce the population size

Conclusion

In conclusion, understanding population growth is crucial for conservation efforts in national preserves. By analyzing the population growth pattern, wildlife managers can make informed decisions about habitat management, hunting regulations, and other conservation strategies. We hope that this Q&A article has provided you with a better understanding of population growth and its importance in conservation efforts.