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4. A predator is introduced into a population of rabbits. The number of rabbits in the population, P, is modeled by the following cquation, where t is the number of months since the predator was introduced: P(t) = 400-22 for 0

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Jean Keeling
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12 Aug 2018
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Related questions

2. There are 30 guinea pigs introduced into an ecosystem, and their population grows at a rate proportional to its size. In 2 years, the population grows to 85 guinea pigs. (a) Find a formula for the function P(t) that gives the population of guinea pigs at any time t measured in years. [5] [4] (b) Using your answer to part (a), determine how long it would take the guinea pig population to quadruple.

17. The population of a colony of ants, in thousands of ants, can be modeled by the following function I(t) = 0.1 +0.3t + 50, where t is months since the start of 2015. (a) (5 points) Determine I'(7). (b) (5 points) Explain the meaning of your answer from part (a) in the context of the problem. (c) (5 points) Determine I"(t), what does this tell you about the rate of change of the colony over time?

in 1996 the population of a country was 65 million and growing at 4.2% per year.  

  1. Let P(t) represent the population t years since 1996. write the exponential function rule for P(t) that models the population of the country. 
  2. use your function to predict the population of the country in 2006. show your method
  3. use your calculator to estimate the first year in which the country`s population will be at least double the population in 1996. show your method. 

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