SOLUTION: please help me with this question, Populations whose growth is limited can often be modeled using the logistics equation, which has the form, P(t) = A/(1+Be^-Ct), Where A, B,

Algebra ->  Human-and-algebraic-language -> SOLUTION: please help me with this question, Populations whose growth is limited can often be modeled using the logistics equation, which has the form, P(t) = A/(1+Be^-Ct), Where A, B,      Log On


   

Question 1195050: please help me with this question,
Populations whose growth is limited can often be modeled using the logistics equation,
which has the form, P(t) = A/(1+Be^-Ct), Where A, B, and C are positive constants.
a. What is the initial population in terms of the constants?
b. What is the limiting population in terms of the constants?
c. Sketch the graph of P(t) when A=5000, B=300, and C=-0.6.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  The initial population is at t = 0, when e%5E%28-Ct%29 = 1 :

          P%5Binitial%5D = A%2F%281%2BB%29.



(b)  Limiting population is at  t ---> oo,  when  e%5E%28-Ct%29 = 0 :

          P%5Blimiting%5D = A%2F1 = A.



(c)  To get the plot, go to web-site  www.desmos.com/calculator

     Use free of charge common use plotting tool there.


     Print your formula in the port window with the numbers and get the plot next second.


             Be very careful with your value  C= -0.6  and double check it.

             My opinion (as my common sense tells me) that actually C= 0.6;  not -0.6.