Question

The exponential models describe the population of the indicated country, A, in millions, t years after 2006. By what percentage is the population of that country increasing each year? A. Country 4. A= 25.8e^0.021t has the greatest growth. B. The population of that country is increasing by __% each year. (Round to the nearest tenth as needed)

Answer 1

Answer:

The population of that country is increasing by 2.1% each year.

Step-by-step explanation:

The exponential model of the population on the greatest growth:

$A=25.8e^{0.021t}$

To determine at what percentage is the population increasing each year, we can use the following ratio:

$\frac{A(t+1)}{A(t)}$

Therefore,

$\frac{A(t+1)}{A(t)}=\frac{25.8e^{0.021(t+1)}}{25.8e^{0.021t}}=e^{0.021}=1.021\text{ }$

The population of that country is increasing by 2.1% each year.