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

A=22,000×e^(−0.021×5)
A=19,807.14

Answer 2

Answer: 19807

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*5)19807.1394969\approx19807`

Hence, the predicted population in 2015 = 19807