Overview
Question 7
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.0. In 1983, about 1700 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2006? _________ people (Note: once diseases become widespread, they start to behave more like logistic growth, but don't worry about that for the purpose of this exercise)
Question 9
Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1800 fish. Absent constraints, the population would grow by 140% per year. If the starting population is given by p0=400, then after one breeding season the population of the pond is given by p1 = After two breeding seasons the population of the pond is given by p2 =