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In a particular region of a national park, the are currently 435 deer, and the population is increasing at an annual rate of 9%.
a) Write an exponential function to model the deer population in terms of the number of years from now.
Let P(t) represent the deer population t years from now, then the exponential function can be written as:
P(t) = 435 * (1 + 0.09)^t
P(t) = 435 * 1.09^t
where t is the number of years from now.