Describing growth rates using graphs: Deer population

Ecologists have closely studied the deer population on the George Reserve in Michigan. In this task you are going to build a graph of the population of the deer. The graph of the population over 300 years is given below. Here, the horizontal axis represents the number of years since observations began, and the vertical axis represents the number of deer present.
Carrying capacity
2,000
Initial value
200
Growth rate
0.06

Questions


1. Describe the different shapes of the graph that are possible by moving the sliders to different values.
2. What slider values are necessary to make the deer population decrease?
3. What are possible slider values needed to have the deer population reach 800 deer within 100 years if the initial population was 200?
4. What growth rates are needed to have the deer population reach a carrying capacity of 1000 deer within 150 years given an initial value of 400 deer?