Question

The population of a culture of bacteria is modeled by the logistic equation 14,250 P(t)=1+29e-0.62% 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) = PoeKt where Pois 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 + 29.9.62). {0<x< 15) {0<y < 15000) y = 14300 (0 < x < 15) you will find the command "+" in the desmos calculator after selecting "14250", or you type "7" after selecting "14250", and you will also find the function "exp"). Adjust the x and yaxes 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. Your Discussion should be a minimum of 250 words in length and not more than 750 words.

expert, please don't copy from the internet and don't answer with a picture only answer with a text and use APA APA text citation if needed. Thanks, I hope to submit it soon.

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Answer 1

Answer - Given that 14,250 logistic Equatios PCH) Substituting to in 14296 0.62t logistic Equation Ĉ 14,250 -DQ(x) P(t) It 29 e 142,50 = 14250 = 14250 in logistic Substitting for t=0 intial capacity Equation PCL) = 14250 -0.62(0) 429 14250 H+298 E: e 21 14250 Z It 29. 14250 30

475 214259 34 . 475 P(t) for k754 of carrying capacity 0.75 X 14250 -0.62€ 1+ 29 e 14250 -0.626. H2ge 2 14256 0.15x14.50 -0.626 1+ 290 0-75 -0.62€ It 29e 1.33 -0.62t 29 e 31-33-1 = 0.33 -0.62€ 29 € -0-62t e 0-33 29. -0.62t e 011 -0.62€ €0-11 = 134 e 87 -0.62€ = lea Lanta) 87 0-621 = -4.465 t -9.465 0.62 t 27-20 kt t 2 72 days, Pe Poe fis not plastible as time grows, bumber of virus Indrasente a