SOLUTION: I have been raising chickens for four years and it seems that their population has been increasing exponentially. If initially, there were four chickens and there are now 12 chicke

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Question 1188560: I have been raising chickens for four years and it seems that their population has been increasing exponentially. If initially, there were four chickens and there are now 12 chickens,
a. Use the given information to find the growth rate of the chicken population, assume continuous compounding.
b. Write an exponential model that describes the number of chickens at time 𝑡, in years, where 𝑡 = 0 corresponds to the present day.
c. How many chickens will there be in 3 years?
d. In what year will there be more than 300 chickens?
e. Is this a realistic model for the population of chickens? Explain.
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
a. 4%2Ae%5Ert=12 e%5E4t=3
t=ln%283%29%2F4 ~27.47%
b. P=4%2Ae%5E%280.2747%2At%29
You can use this model to answer the rest of the questions.