Question

Enzo is studying the black bear population at a large national park.
He finds that the relationship between the elapsed time t, in years, since the beginning of the study, and
the black bear population B(t), in the park is modeled by the following function.
B(t) = 2500 - 20.01^t
According to the model, what will the black bear population be at that national park in 25 years?
Round your answer, if necessary, to the nearest whole number.

Answer 1

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

$B(t) = 2500 \cdot 2^{0.01t}$

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

$B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973$

There will be 2,973 black bears in 25 years time.