Population Growth:
A. Exponential Growth:
1. A population of a small city had 5000 people in the year 2000 and
has grown at a rate proportional to its size. In the year 2005 the
population was 5700. solution
(a) Estimate the population of the city in 2006, and in 2010.
(b) Assuming the growth continues at the same rate, when will the
town have 8,600 people?
2. Suppose a student carrying a flu virus returns to an isolated
college campus of 1500 students. It is assumed that the rate at which
the virus spread is porportional not only to the number of infected
students but also to the number of students not infected. Determine the
number of infected students after 6 days given that the number of
infected students after 4 days is 60.
3. The population of California was approximately 37.25 and 39.14
millions in the years 2010 and 2015, respectively. Estimate the
population of California for the year 2025? Assume the carrying capacity
of California is 60 million.