IIT JAM Exam > IIT JAM Questions > In your research on population dynamics of Ju...
Start Learning for Free
In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]
Correct answer is '4945'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In your research on population dynamics of June beetles, you estimate ...
We know that there are 400 births in the population over the month, in our population of 3,000 in dividuals: we can express this as a birth rate by doing the following:
Birth rate = 400/3000 = 0.1333 births (indiv. x month)
Using the same logic...
Death rate = 150/3000 = 0.0500 deaths (indiv. x month)
r = birth rate - death rate = 0.1333 - 0.0500 = 0.0833
Nt = Nο ert
We know that t = 6 months (given in the question)
Birth rate = 400/3000 = 0.1333 births (indiv. x month)
Using the same logic...
Death rate = 150/3000 = 0.0500 deaths (indiv. x month)
r = birth rate - death rate = 0.1333 - 0.0500 = 0.0833
Nt = Nο ert
We know that t = 6 months (given in the question)
Therefore. Nt = 3000 e (0.0833)(6)
In Nt - In 3000 = 0.4998
Nt = 4945 beetles
In Nt - In 3000 = 0.4998
Nt = 4945 beetles
Most Upvoted Answer
In your research on population dynamics of June beetles, you estimate ...
Estimating r:
To estimate the intrinsic rate of increase (r) of the June beetle population, we can use the formula:
r = (b - d) / N
where b represents the number of births, d represents the number of deaths, and N represents the population size.
Given that there were 400 births and 150 deaths over the course of a month, we can substitute these values into the formula:
r = (400 - 150) / 3000
r = 250 / 3000
r ≈ 0.0833
Estimating Population Size:
To estimate the population size in 6 months, we can use the exponential growth model:
Nt = N0 * e^(rt)
where Nt represents the population size at time t, N0 represents the initial population size, e is Euler's number (approximately 2.71828), r is the intrinsic rate of increase, and t is the time period.
Given that the initial population size (N0) is 3,000 and the intrinsic rate of increase (r) is approximately 0.0833, we can substitute these values into the formula:
Nt = 3000 * e^(0.0833 * 6)
Nt ≈ 3000 * e^(0.4998)
Nt ≈ 3000 * 1.6476
Nt ≈ 4942.8
Rounding the estimated population size to the nearest integer, we get:
Population size in 6 months ≈ 4943
Therefore, the predicted population size in 6 months is 4943.
To estimate the intrinsic rate of increase (r) of the June beetle population, we can use the formula:
r = (b - d) / N
where b represents the number of births, d represents the number of deaths, and N represents the population size.
Given that there were 400 births and 150 deaths over the course of a month, we can substitute these values into the formula:
r = (400 - 150) / 3000
r = 250 / 3000
r ≈ 0.0833
Estimating Population Size:
To estimate the population size in 6 months, we can use the exponential growth model:
Nt = N0 * e^(rt)
where Nt represents the population size at time t, N0 represents the initial population size, e is Euler's number (approximately 2.71828), r is the intrinsic rate of increase, and t is the time period.
Given that the initial population size (N0) is 3,000 and the intrinsic rate of increase (r) is approximately 0.0833, we can substitute these values into the formula:
Nt = 3000 * e^(0.0833 * 6)
Nt ≈ 3000 * e^(0.4998)
Nt ≈ 3000 * 1.6476
Nt ≈ 4942.8
Rounding the estimated population size to the nearest integer, we get:
Population size in 6 months ≈ 4943
Therefore, the predicted population size in 6 months is 4943.
|
Explore Courses for IIT JAM exam
|
|
In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer?
Question Description
In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer?.
In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer?.
Solutions for In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer?, a detailed solution for In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? has been provided alongside types of In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In your research on population dynamics of June beetles, you estimate that the population size is 3,000. Over the course of a month, you record 400 births and 150 deaths in the population. Estimate r and the population size is predicted to be in 6 months will be _____________ [answer in integer]Correct answer is '4945'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup