The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada A=33.1e0.009t Uganda A=28.2

A researcher is trying to determine the doubling time of a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and estimates the bacteria count every four hours. His data are shown in the table. Use a graphing calculator to find an exponential curve f(t)=a⋅bt that models the bacteria population t hours later. Time (hours) 04812162024 Bacteria count (CFU/mL)37476378105130173

The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006.

$\begin{array}{cccccccc}Year& 2000& 2001& 2002& 2003& 2004& 2005& 2006\\ R_1& 52.5& 65.3& 76.5& 87.6& 102.1& 113.5& 125.5\end{array}$
(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.
(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is ${\displaystyle R2=6+13+13,9^{0.14}t}$. What is the difference in total service revenues between the two models for the years 2010 through 2015?

The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006.
Canada
${\displaystyle A=33.1e^{0.009}t}$ Uganda ${\displaystyle A=28.2e^{0.034}t}$
Use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Ugandas

Furthermore why is it that ${\displaystyle e^x}$ is used in exponential modelling? Why aren't other exponential functions used, i.e. ${\displaystyle 2^x}$, etc?

James rents an apartment with an initial monthly rent of $1,600. He was told that the rent goes up 1.75% each year. Write an exponential function that models this situation to calculate the rent after 15 years. Round the monthly rent to the nearest dollar.

The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Canada A=33.1e0.009t Uganda A=28.2e0.034t Use this information to determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The models indicate that in 2013, Ugandas

For the following exercises, use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape of the scatter diagram to determine whether the data is best described by an exponential, logarithmic, or logistic model. Then use the appropriate regression feature to find an equation that models the data. When necessary, round values to five decimal places.
$\begin{array}{|cccccccccccc|}\hline x& 3& 4& 5& 6& 7& 8& 9& 10& 11& 12& 13\\ f(x)& 13.98& 17.84& 20.01& 22.7& 24.1& 26.15& 27.37& 28.38& 29.97& 31.07& 31.43\\ \hline\end{array}$