Question

In a certain geographic location, a herd of antelopes is declining at a rate of 6% every year. If there are currently 570 antelopes in the herd, create an exponential decay function to model the problem. If the decrease in population continues at this rate, how many antelopes will be in the herd after 10 years? Round your answer to the nearest whole number.(1 point)

Answer 1

Exponential decay model:
N(t) = 570(0.94)^t, where t is years from now.

After 10 years:
N(10) = 570(0.94)^10 ≈ 570(0.5387) ≈ 307.

So about 307 antelopes (rounded to the nearest whole number).