The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada A=33.1e^0.009t Uganda A=28.

The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
India, $A=1173.1e^{0.008t}$
Iraq, $A=31.5e^{0.019t}$
Japan, $A=127.3e^{0.006t}$
Russia, $A=141.9e^{0.005t}$

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.
(a) Find a function that models the population t years after 1990.
(b) Find the time required for the population to double.
(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.

The exponential models describe the population of the indicated country A, in millions, t years after 2006. Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
Country: 1 ${\displaystyle A=127.8e^{0.006t}}$
Country 2: ${\displaystyle A=1096.9e^{0.018t}}$
Country 3: ${\displaystyle A=147.4e^{-0.003t}}$
Country 4: ${\displaystyle A=25.6e^{0.023t}}$

The table below gives values of the function f and g and different values of x. Whatis f(g (1))? 

x	1	2	3
f(x)	3	-6	2
g(x)	2	7	1

 

Give an example of an exponential function that models exponential growth and an example of an exponential function that models exponential decay.

Explain when the function ${\displaystyle y=a\cdot b^x}$ models exponential growth and when it models exponential decay.

Use Exponential Models in Applications
Elise invests $4500 in an account that compounds interest monthly and earns 6%. How long will it take for her money to double?