AP Success - AP Biology Conceptual Analysis: Evolution - Mathematical Modeling of Populations

A group of scientists are studying a population of rabbits in a large, enclosed field. They have observed that the population doubles every year. The field has a carrying capacity of 1000 rabbits. The scientists have been monitoring the population for 5 years, and they started with an initial population of 50 rabbits.

Question 1

Short answer

Describe the growth of the rabbit population in this field over time.

Question 2

Short answer

The scientists observed that the population growth slowed down after the fourth year. Explain this observation using the mathematical model you described in part (a).

Question 3

Short answer

Predict the rabbit population in the field after 7 years, assuming the conditions remain the same.

Question 4

Short answer

The scientists claim that the rabbit population will never exceed the carrying capacity of the field. Justify this claim using the mathematical model and detailed reasoning.

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