The population of a culture of bacteria is modeled by the logistic equation
p(t)= {14,2...
Mathematics, 15.12.2019 23:31 adjjones2011
The population of a culture of bacteria is modeled by the logistic equation
p(t)= {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 calculator and type
y = 14250 / (1 + 29 . e-0.62 x). {0 < x < 15} {0 < y < 15000}
y = 14300 {0 < x < 15}
(you will find the command “\div” in the 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.
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