A person with the flu virus is most contagious a day before symptoms occur and can remain contagious a week after (for a total of 8 days). Assume one person with the flu virus infects 3 other people in a day, and each of those people go on to infect 3 people themselves, and so on. Use the exponential growth formula()= (1 + )to answer the following questions.

1. What is the initial amount,a, and the growth rate,r, in this scenario? (1 point)
2. How many people would be infected from the flu virus after 8 days? (1 point)
3. Use Desmos.com and graph this scenario usingtas your variable. You may want to
4. change the scale of your y-axis to see more of the graph and to get an idea of how fast it increases: Click on the wrench icon in the upper right and change the Y-Axis scale so that the max is either 10,000 or 100,000. Attach a screen shot of your graph to the work that you turn in. Make sure your screen shot shows the formula you are using. (2 points)
5. Think of at least three real-world factors that could affect the growth rate, r. Describe how these factors would affect the growth rate. (3 points)