Question

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. show all steps to get both answers

Answer 1

Answer: a) P = 435(1.09)^t b) 730 deer

Step-by-step explanation:

a)
We can use an exponential function.
The initial number of deer is 435.
It's increasing by 9% each year, so the population is being multiplied by 1.09 each year, compounding. From this information, we can set up the equation:
P  = 435(1.09)^t

P = population, t = years.

b)
Using the function, we can predict the population in 6 years by substituting 6 for t.
435 x 1.09^6 = 730, rounding up.