Chapter 4.2, Problem 51E

(a)

To determine

To graph: The model by using technology which represents the population y of a bacterial culture increases with the time t (in days) is given by the logistic growth function as,

$y=\frac{925}{\left(1+e^{-0.3t}\right)}$

Also determine the number of days required in order that the population of the culture will reach $711$.

(b)

To determine

Whether the limit of population of bacterial culture have some value or not as t increases without bound and give reason when the population y of a bacterial culture increases with the time t (in days) is given by the logistic growth function as,

$y=\frac{925}{\left(1+e^{-0.3t}\right)}$

(c)

To determine

To calculate: The limit of population of bacterial culture and give interpretation about the type of model when the population y of a bacterial culture increases with the time t (in days) is given by the function as,

$y=\frac{1000}{\left(1+e^{-0.3t}\right)}$