For this discussion, you will be using the population growth equation found in the Required Reading for this week. In particular, your task is as follows:
- Use the population growth equation to determine the expected population for a state (not already chosen by another student) in the year 2050. Make sure to cite any outside sources used to determine the current growth rate.
- Determine when the population will double (i.e., Doubling Time, T).
- Discuss additional examples of real-world contexts that can be modeled using exponential or logarithmic equations.
- In your responses to peers, compare your results and comment on their additional examples.
The exponential growth model is:
Here is the equation
P(t)=P0ekt, k>0Pt=P0ekt, k>0
We use letter P for population here. It is a general term and could relate to other amounts.
- P(t)Pt – population at time t
- P0P0 – the initial population
- kk – growth rate