Question: A small town has a stray cat problem. Currently it is estimated that there are 120 stray cats in the town, and the population grows

A small town has a stray cat problem. Currently it is estimated that there are 120 stray cats in the town, and the population grows at a rate of 3% per year. Since the rise of the stray cat population, the rat population has decreased significantly, decreasing by 4% per year. The estimated population of rats is 3000.

a) Determine a function that models the population of cats each year.

b) Determine a function that models the population of rats each year.

c) Determine when the cat and rat populations will be equal.

d) Do you think that these functions appropriately model these populations? Why or why not?

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