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.

Question

Want to see more full solutions like this?

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Which of the following is the process that is "capable of destroying all forms of microbial life"? Question 37 options: Surgical scrub Sterilization Chemical removal Mechanical removal

After you feel comfortable with your counting method and identifying cells in the various stages of mitosis, use the four images below of whitefish blastula to count the cells in each stage until you reach 100 total cells, recording your data below in Data Table 1. (You may not need to use all four images. Stop counting when you reach 100 total cells.) After totaling the cells in each stage, calculate the percent of cells in each stage. (Divide total of stage by overall total of 100 and then multiply by 100 to obtain percentage.) Data Table 1Stage Totals PercentInterphase Mitosis: Prophase Metaphase Anaphase Telophase Cytokinesis Totals 100 100% To find the length of time whitefish blastula cells spend in each stage, multiply the percent (recorded as a decimal, in other words take the percent number and divide by 100) by 24 hours. (Example: If percent is 20%, then Time in Hours = .2 * 24 = 4.8) Record your data in Data…

What are Clathrin coated vesicles and what is their function?

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.