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Mathematics, 27.12.2019 23:31 sierraseideman1023
The spread of a virus can be modeled by exponential growth, but its growth is limited by the number of individuals that can be infected. for such situations, the function p(t) = ((kpe)^rt)/k+p(e^rt - 1) can be used, where p(t) is the infected population t days after the first infection, p is the initial infected population, k is the total population that can be infected, and r is the rate the virus spreads, written as a decimal.
a. a town of 10,000 people starts with 2 infected people and a virus growth rate of 20%. when will the growth of the infected population start to level off, and how many people will be infected at that point? explain your reasoning, and include any graphs you draw, with or without technology.
b. when will the infected population equal to the uninfected population?
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