The exponential models describe the population of the indicated country. A, in m

Question

The exponential models describe the population of the indicated country. A, in millions, t years after 2006. Which country has the greates growth rate? By what percentage is the population of that country increasing each year?
Country1:

A = 129.3 e^{0.001 t}

Country 2:

A = 1096.9 e^{0.011 t}

Country 3:

A = 28.7 e^{0.028 t}

Country 3:

A = 147.9 e^{- 0.004 t}

Answer 1

We can solve it using exponential growth rate formula as below.
We have the exponential growth rate formula as
Final amount A=(principal value P)

\times e^{(rate of interes)(tome)}

so from the given data we can extract the rate of interest of country A=0.001
country B=0.011
country C=0.028
country D=-0.004
Here we can see the highest growth rate is 0.028, so its the 1st answer
again the percentage growth rate for this country would be

\frac{0.028}{100} = 2.8 %

per year

The exponential models describe the population of the indicated country. A, in m

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