Read:
Chapter 6 of the textbook (Abramson, J. (2017). Algebra and trigonometry. OpenStax, TX: Rice University. Retrieved from https://openstax.org/details/books/algebra-and-trigonometry)
For the discussion post:
The population of a culture of bacteria is modeled by the logistic equation:
P(t)= frac{14,250}{1+29e^{-0.62t}.
To the nearest tenth, how many days will it take the culture to reach 75% of its carrying capacity? What is the carrying capacity? What is the initial population for the model? Why a model like
P(t)=P_0 e^{Kt}, where P_0 is the initial population, would not be plausible? What are the virtues of the logistic model?
Go to www.desmos.com/calculator and type y = 14250 / (1 + 29 . e^-0.62 x). {0 < x < 15} {0 < y < 15000} and y = 14300 {0 < x < 15}.
(you will find the command “div” in the desmos calculator after selecting “14250”, or you type “/” after selecting “14250”, and you will also find the function “exp” ). Adjust the x and y axes settings to 0 < x < 15 and 0 < y < 15000. Plot the graph you have obtained (you can use a screenshot, save as image, and copy it into word). If you need, or if you want, go to the Course Forum and tell us something about this plotting task.
Be sure to use in-text citation and provide references for your sources, including textbooks.
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