Question

Please help me with the 2nd part!! I'm stuck on it

Answer 1

• Country 3

,

• 2.2%

Explanation:

Given the growth rates of the four countries below:

`\begin{gathered} Country1\colon A=1262e^(0.003t) \\ Country2\colon A=141.6e^(-0.007t) \\ Country3\colon A=27.9e^(0.022t) \\ Country4\colon A=1081.5e^(0.013t) \end{gathered}`

Part A

The country with the highest growth rate is Country 3.

Part B

The equation for country 3 is given by:

`Country3\colon A=27.9e^(0.022t)`

Evaluate the exponent term:

`e^(0.022t)=1.022243^t`

We can rewrite the result further:

`1.022243^t=(1+0.022243)^t=(1+(2.2243)/(100))^t\approx(1+(2.2)/(100))^t`

The population of the country is increasing by 2.2% each year.