Show all our steps
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.
b) Predict the number of deer that will be in the region after six years.
a) Let the exponential function be P(t) = 435(1 + 0.09)^t, where t is the number of years from now.
b) To predict the number of deer after six years, we substitute t = 6 into the exponential function:
P(6) = 435(1 + 0.09)^6
P(6) = 435(1.09)^6
P(6) = 435(1.62684886)
P(6) = 707.3
Therefore, the predicted number of deer in the region after six years will be approximately 707.