The population of fish in a pond can be modeled with the sinusoidal function =3000cos(10)+37000wheret is the number of years after 2005.

Collaborate with your peers to answer the following:

1. Draw a graph or figure to represent this situation.
2. Describe how the concepts from this module can be applied in this case.
3. To the nearest whole number, what was the population in the year 2012?
4. Provide another example of a scenario that involves the same concept.