Question

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?

Answer 1

Answer: 19807

Step-by-step explanation:

Given: 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.

The given function :

$A(t) = A_oe^{kt}$, where $A_o$ is the initial value and k is the rate of decay.

Consider 2010 as the initial year, then $A_o=22,000$

k=-0.021 per year

For year 2015 , t=2015-2010=5

$A(5) = (22,000)e^{-0.021\times5}19807.1394969\approx19807$

Hence, the predicted population in 2015 = 19807

Answer 2

A=22,000×e^(−0.021×5)
A=19,807.14