Populations that grow rapidly unchecked can grow explosively. Under ideal conditions, without restrictions, populations begin growing slowly but as time pass the growth rate rapidly increases.

General Questions

In the stargraph what numbers would be found in the generation after the 8?

1.

How can we use the stargraph to predict further generation numbers?

2.

Why does knowing the function for Population Size vs Time make it easier to make future predictions?

3.

How does the K (carrying capacity) affect the size of a population?

4.

What might a more realistic graph look like around K?

5.

Extension: Which allowance would you choose: 1 penny growing exponentially or $1 growing arithmetically? How much money would you have at the end of 15 days if you took the penny? How much money would you have at the end of 15 days if you took the $1?