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A sample of single cell marine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]
Correct answer is between '0.15,0.17'. Can you explain this answer?
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A sample of single cellmarine algae from the Giant Stairs site provide...
Nt = N0 ert
Nt/N0 = ert
Take the natural log on both sides
Nt - In N0 = rt
In Nt - In N0/t = r
Plug in the numbers....
r = In (500,000) - ln(100,000)/10 = 13.12 - 11.51/10 = 0.16 indiv./(indiv. x day)
Nt/N0 = ert
Take the natural log on both sides
Nt - In N0 = rt
In Nt - In N0/t = r
Plug in the numbers....
r = In (500,000) - ln(100,000)/10 = 13.12 - 11.51/10 = 0.16 indiv./(indiv. x day)
Most Upvoted Answer
A sample of single cellmarine algae from the Giant Stairs site provide...
Estimating Intrinsic Rate of Increase (r) for Marine Algae Population
Initial population size = 100,000 cells
Population size after 10 days = 500,000 cells
To estimate the intrinsic rate of increase (r) for the population, we can use the following formula:
r = (ln(Nt/N0))/t
where Nt = final population size, N0 = initial population size, t = time interval
Substituting the values, we get:
r = (ln(500,000/100,000))/10
r = (ln(5))/10
r = 0.115
Therefore, the intrinsic rate of increase (r) for the marine algae population is 0.115 or 0.12 (rounded to two decimal places).
Explanation:
The intrinsic rate of increase (r) is a measure of how fast a population is growing without any external factors affecting it. In this case, we are estimating the rate of increase for a single cell marine algae population.
To estimate r, we need to know the initial and final population sizes and the time interval between the two measurements. In this case, the initial population size was 100,000 cells and the final population size after 10 days was 500,000 cells.
Using the formula for r, we calculated the natural logarithm of the ratio of final to initial population sizes, divided by the time interval. This gave us an estimate of 0.115 or 0.12 for the intrinsic rate of increase (r).
This means that the marine algae population is growing at a rate of approximately 12% per day under ideal conditions, without any external factors affecting its growth.
Initial population size = 100,000 cells
Population size after 10 days = 500,000 cells
To estimate the intrinsic rate of increase (r) for the population, we can use the following formula:
r = (ln(Nt/N0))/t
where Nt = final population size, N0 = initial population size, t = time interval
Substituting the values, we get:
r = (ln(500,000/100,000))/10
r = (ln(5))/10
r = 0.115
Therefore, the intrinsic rate of increase (r) for the marine algae population is 0.115 or 0.12 (rounded to two decimal places).
Explanation:
The intrinsic rate of increase (r) is a measure of how fast a population is growing without any external factors affecting it. In this case, we are estimating the rate of increase for a single cell marine algae population.
To estimate r, we need to know the initial and final population sizes and the time interval between the two measurements. In this case, the initial population size was 100,000 cells and the final population size after 10 days was 500,000 cells.
Using the formula for r, we calculated the natural logarithm of the ratio of final to initial population sizes, divided by the time interval. This gave us an estimate of 0.115 or 0.12 for the intrinsic rate of increase (r).
This means that the marine algae population is growing at a rate of approximately 12% per day under ideal conditions, without any external factors affecting its growth.
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A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. Can you explain this answer?
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A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. 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 A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. 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 A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. Can you explain this answer?.
A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. 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 A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. 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 A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. Can you explain this answer?.
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A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. Can you explain this answer?, a detailed solution for A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. Can you explain this answer? has been provided alongside types of A sample of single cellmarine algae from the Giant Stairs site provided an estimate of 100,000 cells on the initial sampling date. Ten days later, the population size was estimated to be 500,000 cells. Tthe intrinsic rate of increase (r) for the population would be _________________[answer upto two decimal places]Correct answer is between '0.15,0.17'. Can you explain this answer? theory, EduRev gives you an
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