Question: Spread of a flu epidemic initially, 10 students at a junior high school contracted influenza. The flu spread over time, and the total number of students who eventually contracted the flu approached but never exceeded 200. Let p(t) denote the number of students who had contracted the flu after t days, where p is an appropriate function.
A. Make a sketch of the graph of p. (your answer will not be unique.)
B. Where is the function increasing?
C. Does p have a horizontal asymptote? If so, what is it?
D. Discuss the concavity of p. Explain its significance.
E. Is there an inflection point on the graph of p? If so, explain its significance.