A. Exponential Growth
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A population of a small city had 5,000 people in the year 2000 and has grown at a rate proportional to its size. In the year 2005 the population was 5,700.
- Estimate the population of the city in 2006, and in 2010.
- Assuming the growth continues at the same rate, when will the town have 8,600 people?
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Suppose a student carrying a flu virus returns to an isolated college campus of 1,500 students. It is assumed that the rate at which the virus spreads is proportional 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.
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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.
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