CAUTION What is the defining feature of exponential growth? a. The population is growing. b. The per capita growth rate is constant. c. The per capita growth rate increases rapidly over time. d. The per capita growth rate is very high.

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Answer 1

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

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Students have asked these similar questions

A population that grew in close relation to the amount of resources available in the environment, would experience A. exponential growth, such as shown on the J-shaped curve B. logistic growth, such as shown on the S-shaped curve C. unpredictable growth, such as shown on the ?-shaped curve D.logistic growth, such as shown on the J-shaped curve E. exponential growth, such as shown on the S-shaped curve

You monitor the white-tailed deer population for the Wright State campus and woods and estimate 14 deer in the first year and 21 deer in the second year. (A) Assume the deer population is growing geometrically. Based on these data, what is geometric growth rate constant (A)? (B) Geometric growth patterns can also be modeled exponentially. If modeled exponentially, would you expect the exponential growth rate constant () to be greater than, less than, or equal to 0? Why? You monitor the deer population for many years. The population grows for a few more years, then seems to stabilize around 75 deer. (C) Given this information, what would be a more appropriate model for the deer population growth? Why? (D) What factors might be limiting the population growth? Would these factors be considered density-dependent or density- independent factors? Why? it is equal to zero. The correct answer is not displayed for Written Response type questions. Hide Feedback (A) Check geometric growth…

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Answer 2

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

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Answer 3

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

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Answer 4

Textbook Question

Chapter 51, Problem 1TYK

CAUTION What is the defining feature of exponential growth?

a. The population is growing.

b. The per capita growth rate is constant.

c. The per capita growth rate increases rapidly over time.

d. The per capita growth rate is very high.

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Answer 8

Expert Solution & Answer

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.

Conclusion

Thus, the constant per capita growth rate of the populations serves as the defining feature of the exponential growth rate.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Summary Introduction

Introduction:

The type of growth where the population grows rapidly without any decline is called exponential growth. It is also the rate of change per unit time. The population size in the exponential growth does not limit the growth rate.

Answer 12

Answer to Problem 1TYK

Correct answer:

The defining feature would be that the per capita growth rate is constant. The per capita growth rate does not change during the exponential growth.

Answer 13

Explanation of Solution

Justification for the correct statement:

Option (b) is given that the per capita rate remains constant. During the exponential growth, the per capita growth rate is constant, unlike the logistic growth. It does not depend on the population size. Per capita growth rate if is higher, the population size increases gradually.

The per capita growth rate is given as the function of “N” (population size) and “t” (time interval) and is represented as r=dNdt, where “r” is per capita growth rate. The value of “r” is high if the increase in the population within a short interval of time is high. Thus, the large value of “r” indicates the increased population size. Hence, option (b) is correct.

Justification for the incorrect statements:

Option (a) is given that the population is growing. In the exponential growth rate, the population grows rapidly; however, it is not a defining feature. So, it is incorrect.

Option (c) is given that the population experiences high rates of predation. The increase in the size does not depend on the exponential growth. Even if the per capita rate is high, but constant, the larger population still tends to become larger rapidly when compared to the small population as the initial number of population is high. So, it is incorrect.

Option (d) is given that the per capita growth rate is quite high. Per capita growth rate does not increase rapidly and the growth rate is not very high. The growth occurs gradually. So, it is incorrect.

Hence, the options (a), (c), and (d) are incorrect.