Suppose the population of kangaroos in a province of Australia is modeled by the following, with t= 0 representing the year 2020:
P(t) = 76(1.84)
a.) Using a calculator, find P(10) and then interpret it in the context of the problem.
b.) As the value of t increases to very large numbers, do you think this model will be
realistic? Explain. Using a calculator, find P(100) to help support your answer.
c.) What type of function does P(t) represent? Explain how this helps to justify your
response to part b.