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Read the following text and answer the following question on the basis of the same:
Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.
Q. Identify the correct equation that represents the exponential population growth curve:
- a)dN/dt = IN
- b)Both (A) and (C)
- c)Nt =N0ert
- d)dN/dt = rN
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Read the following text and answer the following question on the basis...
At the constant birth rate in population through time and is never limited by food or disease, known as exponential growth.
The formula of exponential growth is dN/dt=rN where dN/dt is the rate of change in population size, r is the biotic potential and N is the population size.
The formula of exponential growth is dN/dt=rN where dN/dt is the rate of change in population size, r is the biotic potential and N is the population size.
Most Upvoted Answer
Read the following text and answer the following question on the basis...
Exponential Population Growth Curve
The correct equation that represents the exponential population growth curve is dN/dt = rN.
Explanation
Exponential growth occurs when a population increases at a constant rate over time, without any limiting factors. In this type of growth, the population size doubles in a fixed time period.
The equation dN/dt = rN represents the rate of change of population size (dN/dt) with respect to time (t) equals the growth rate (r) multiplied by the current population size (N).
Here is a breakdown of the components of the equation:
- dN/dt: This represents the rate of change of population size with respect to time. It indicates how fast the population is growing or declining.
- r: This is the per capita growth rate, which represents the average number of offspring produced per individual per unit time.
- N: This is the current population size.
Interpretation
The equation dN/dt = rN indicates that the rate of population growth is directly proportional to the population size. As the population size increases, the rate of growth also increases. This leads to exponential growth, where the population size doubles over a fixed time period.
In the context of the given text, when resources in the habitat are unlimited, each species can fully realize its innate potential to grow in number. This means that the population can grow without any constraints, resulting in exponential growth.
It is important to note that exponential growth is not sustainable in the long term, as resources eventually become limited. When resources are limited, the growth curve deviates from exponential growth and follows a sigmoid (S-shaped) pattern.
Conclusion
The correct equation representing the exponential population growth curve is dN/dt = rN. This equation describes how the rate of change of population size is directly proportional to the population size, resulting in exponential growth.
The correct equation that represents the exponential population growth curve is dN/dt = rN.
Explanation
Exponential growth occurs when a population increases at a constant rate over time, without any limiting factors. In this type of growth, the population size doubles in a fixed time period.
The equation dN/dt = rN represents the rate of change of population size (dN/dt) with respect to time (t) equals the growth rate (r) multiplied by the current population size (N).
Here is a breakdown of the components of the equation:
- dN/dt: This represents the rate of change of population size with respect to time. It indicates how fast the population is growing or declining.
- r: This is the per capita growth rate, which represents the average number of offspring produced per individual per unit time.
- N: This is the current population size.
Interpretation
The equation dN/dt = rN indicates that the rate of population growth is directly proportional to the population size. As the population size increases, the rate of growth also increases. This leads to exponential growth, where the population size doubles over a fixed time period.
In the context of the given text, when resources in the habitat are unlimited, each species can fully realize its innate potential to grow in number. This means that the population can grow without any constraints, resulting in exponential growth.
It is important to note that exponential growth is not sustainable in the long term, as resources eventually become limited. When resources are limited, the growth curve deviates from exponential growth and follows a sigmoid (S-shaped) pattern.
Conclusion
The correct equation representing the exponential population growth curve is dN/dt = rN. This equation describes how the rate of change of population size is directly proportional to the population size, resulting in exponential growth.
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Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer?
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Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer?.
Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following text and answer the following question on the basis of the same:Growth of a population with time shows specific and predictable patterns. Two types of growth pattern of population are exponential and logistic growth. When resources in the habitat are unlimited each species has the ability to realize fully its innate potential to grow in number. Then the population grows in exponential fashion. When the resources are limited the growth curve shows an initial slow rate and then it accelerates and finally slows giving the growth curve which is sigmoid.Q. Identify the correct equation that represents the exponential population growth curve:a)dN/dt = INb)Both (A) and (C)c)Nt =N0ertd)dN/dt = rNCorrect answer is option 'D'. Can you explain this answer?.
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