Question

WORTH 20 PTS!!!
In Texas, the population of a species of bats is decreasing at a rate of -0.021 per year. The population was 22,000 in 2010. According to the function, A(t) = A0e(kt) , what is the predicted population in 2015?
4,130
14,130
19,807
21,543

Answer 1

For this case we have the following function:
 $A (t) = A0e ^ {(kt)}$
 Where,
 A0: initial population
 K: rate of change
 t: time in years
 Substituting values we have:
 $A (t) = 22000 * e ^ {(- 0.021 * t)}$
 For the year 2015 we have:
 $A (t) = 22000 * e ^ {(- 0.021 * 5)} A (t) = 19807$
 Answer:
 the predicted population in 2015 is:
 19,807