Use the two-way table of data from another student survey to answer the following question. Like Aerobic Excercise Like Weight Lifting Yes No Total Ye

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 function $f(x)=42.2(1.56{)}^x$ models the average amount spent, f(x), in dollars, at a shopping mall after x hours. What is the average amount spent, to the nearest dollar, after four hours?

Find the exponential function whose grapgh is given

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are.
f(x)=? g(x)=?
$\begin{array}{|llllll|}\hline x& -2& -1& 0& 1& 2\\ f(x)& 1.125& 2.25& 4.5& 9& 18\\ g(x)& 16& 8& 4& 2& 1\\ \hline\end{array}$

In addition to quadratic and exponential models, another common type of model is called a power model. Power models are models in the form ${\displaystyle \hat{y}=a\cdot x^p.}$ Here are data on the eight planets of our solar system. Distance from the sun is measured in astronomical units (AU), the average distance Earth is from the sun.

When is the exponential population model appropriate? When is the logistic population model appropriate? When is an Allee model appropriate? Discuss the benets of each of these models and their drawbacks.