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If in a population showing sigmoid growt...

If in a population showing sigmoid growth curve the value of K-N/K is 0.95 then what is true for this population.

A

The carrying capacity has been nearly realized

B

The carrying capacity has not been substantially realized and it can accmmodate many more organisms

C

The carrying capacity is only `50%` realized

D

Data is insufficient to comment anything

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The correct Answer is:
To solve the question regarding the population showing a sigmoid growth curve with the value of \( \frac{K-N}{K} = 0.95 \), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Variables**: - In the logistic growth model, \( K \) represents the carrying capacity of the environment, which is the maximum population size that the environment can sustain. - \( N \) represents the current population size. - The expression \( \frac{K-N}{K} \) indicates how much of the carrying capacity is still available for the population to grow. 2. **Substituting the Given Value**: - We are given that \( \frac{K-N}{K} = 0.95 \). - This means that \( K - N = 0.95K \). 3. **Rearranging the Equation**: - From the equation \( K - N = 0.95K \), we can rearrange it to find \( N \): \[ N = K - 0.95K = 0.05K \] 4. **Interpreting the Result**: - The result \( N = 0.05K \) indicates that the current population size \( N \) is only 5% of the carrying capacity \( K \). - This implies that there is still a significant amount of capacity available for the population to grow. 5. **Conclusion**: - Since \( N \) is much less than \( K \), the population is currently under the carrying capacity, which means it has the potential to increase significantly. - Therefore, the population can accommodate more individuals, and it is not yet at its maximum sustainable level. ### Final Answer: The population can accommodate more organisms, as it is currently at only 5% of its carrying capacity.
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