Question 1 · Medium
Assertion A: A population growing logistically stops increasing when its density reaches K. Reason R: At N = K, the factor (K − N)/K becomes zero, so dN/dt is zero. Choose the correct answer.
- ABoth A and R are correct and R is the correct explanation of A
- BBoth A and R are correct but R is not the correct explanation of A
- CA is not correct but R is correct
- DA is correct but R is not correct
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Answer: A · Both A and R are correct and R is the correct explanation of A
Substituting N = K makes the factor zero, so dN/dt is zero and the curve levels off at the asymptote. R therefore explains A.
- B: R is the direct mathematical cause of A.
- C: A is the correct behaviour at K.
- D: R is a correct result of the equation.
Remember this
At carrying capacity, dN/dt = 0 and the sigmoid curve levels off.