Waec Model Questions Vol1 2024 Biology Question 2

Practice objective / multiple choice question 2 from the 2024 Waec Model Questions Vol1 Biology examination.

Waec Model Questions Vol1 2024 Biology Objective / Multiple Choice Hard Difficulty
Question 2 WAEC_MODEL_QUESTIONS_VOL1 • 2024 • BIOLOGY • objective

A fish population in a lake follows the logistic growth model \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\). Field observations give two pieces of information: when the population size is 2,000 fish, the net increase is 300 fish per month; when the population reaches 5,000 fish, the growth rate becomes zero. Determine the intrinsic rate \(r\) (per month) and the carrying capacity \(K\). Then calculate the maximum sustainable yield (MSY) and the population size at which this yield occurs.

Answer Options

A. Intrinsic rate r = 0.20 month⁻¹; carrying capacity K = 4,800 fish; MSY = 240.0 fish per month occurring at a population of 2,400 fish.
B. Intrinsic rate r = 0.30 month⁻¹; carrying capacity K = 5,500 fish; MSY = 412.5 fish per month occurring at a population of 2,750 fish.
Correct Answer C. Intrinsic rate r = 0.25 month⁻¹; carrying capacity K = 5,000 fish; MSY = 312.5 fish per month occurring at a population of 2,500 fish.
D. Intrinsic rate r = 0.25 month⁻¹; carrying capacity K = 6,000 fish; MSY = 375.0 fish per month occurring at a population of 3,000 fish.
Correct Answer
C
Correct Option:
Intrinsic rate r = 0.25 month⁻¹; carrying capacity K = 5,000 fish; MSY = 312.5 fish per month occurring at a population of 2,500 fish.

About This Question

This is Waec Model Questions Vol1 2024 Biology Question 2. It is one of the objective questions from the 2024 Waec Model Questions Vol1 Biology examination.

Difficulty level: Hard .

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