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Question

If the initial size of a population was No=10 and the population is growing at the rate of 0.6%, when will the population stabilize? The carrying capacity of the population is 300.


A

After 20 years

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B
A population having a positive growth rate will increase indefinitely
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C

When the population size is 300

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D

We can obtain the answer by solving for N in dNdt=0.6×N(1N300) if dNdt had been given

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Solution

The correct option is C

When the population size is 300


The carrying capacity of a population is the maximum sustainable population density, therefore a population stops growing once it reaches its carrying capacity. The carrying capacity here is 300, therefore the population stops growing and stabilizes when it reaches 300. When the population stabilizes dNdt is equal to zero, therfore if we solve the equation dNdt=0.6×N(1N300), we get N = 300.

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