Wribreeminsl

2020-11-03

In millions, t years after 2010, the exponential models describe the population of the indicated country, A. Which country has the greatest growth rate? How much does that nation's population grow annually, on average?

India, $A=1173.1{e}^{0.008t}$

Iraq, $A=31.5{e}^{0.019t}$

Japan, $A=127.3{e}^{0.006t}$

Russia, $A=141.9{e}^{0.005t}$

Bentley Leach

Skilled2020-11-04Added 109 answers

The exponential model that describes the population of the indicated country A, in millions,t years after 2010 is

India,

Iraq,

Japan,

Russia,

Here value of k represents the growth rate of population.

Comparing the exponential model from

Standard equation

value of k for country

India is 0.008, for

Iraq is 0.019, for

Japan is −0.006 and for

Russia is -0.005

Since country Russia and Japan has negative value of k,

Rightarrow the decay rate or population is decreasing as the time increases.

Now arrange the positive value of in descending order:

Since the country Iraq has greatest value of k, so the country Iraqgreatest growth rate. The

growth rate of population of Iraq each year is

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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