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 after t years. Since the population is increasing at an annual rate of 9%, the population after one year will be 435 + 0.09(435) = 435(1 + 0.09) = 435(1.09).
Therefore, the exponential function to model the deer population in terms of the number of years from now is:
P(t) = 435(1.09)^t