The following table shows the approximate average household income in the United States in 1990, 1995, and 2003.

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 table shows the number of employees at a software company in various years.
Years Since 2000 4 6 8 10 Number of Employees 32 40 75 124
Use your calculator to find an exponential equation that models the growth of the company.

Find the exponential model ${\displaystyle y=a{e}^{bx}}$ that fits the points (0, 2) and (4, 3)

The original number of bacteria found present in a body was 160. Now, after a period of 9 hours, the body has a count of 920 bacteria. Write the exponential equation that models the growth of the bacteria.

Find a recursive rule that models the exponential growth of ${\displaystyle y=2{\left(1.08\right)}^t}$

You decide to start saving pennies according to the following pattern. You save 1 penny the first day, 2 pennies the second day, 4 the third day, 8 the fourth day, and so on. Each day you save twice the number of pennies you saved on the previous day. Write an exponential function that models this problem. How many pennies do you save on the thirtieth day?