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imagine the dandelion population from above cannot continue to grow exponentially due to lack of space. the carrying capacity for their patch of lawn is 70 dandelions. what is their dn/dt in this logistic growth situation? round to the nearest tenth.

2 Answers

6 votes

Final answer:

The dn/dt in a logistic growth situation can be calculated using the formula dn/dt = r * n * (1 - (n/K)), where r is the growth rate, n is the current population size, and K is the carrying capacity.

Step-by-step explanation:

The dn/dt in this logistic growth situation can be calculated using the formula dn/dt = r * n * (1 - (n/K)), where r is the growth rate, n is the current population size, and K is the carrying capacity. In this case, the carrying capacity is 70 dandelions. To calculate dn/dt, we need to know the growth rate and the current population size. Without that information, we cannot provide a specific answer.

User Clinteney Hui
by
8.9k points
3 votes

Final answer:

In logistic growth, dn/dt decreases as the population approaches the carrying capacity. However, without the growth rate constant, we cannot calculate dn/dt accurately in this situation.

Step-by-step explanation:

In logistic growth, the growth rate of a population slows down as it approaches the carrying capacity of the environment. To find dn/dt in this logistic growth situation, we need the logistic growth equation, which is dn/dt = r imes n imes (1 - (n/K)), where r is the growth rate constant, n is the population size, and K is the carrying capacity.

Using the given information, we know that the carrying capacity is 70 dandelions. We do not have the growth rate constant, so we cannot calculate dn/dt accurately. However, the logistic growth equation suggests that as the population size (n) approaches the carrying capacity (K), dn/dt will decrease, indicating a slower growth rate.

User Mad Dog Tannen
by
8.3k points
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