Assume 5 people originally have the virus and that in early stages the number of people infected is increasing approximately exponentially, with a continuous growth rate of 1.19. Assume further that in the long run, they estimate approximately 9500 people will be infected. (You may wish to sketch a graph of your logistic function P=(L)/(1+Ce^−kt) to help you understand this situation and answer the questions below.) (a) What should we use for the parameters k and L? k=_____________ L=______________ (b) Use the fact that when t=0, we have P=5, to find C. C=_____________ (c) What is the value of P when the rate at which people are becoming infected peaks? P=__________________ When does this occur? t=__________________
Assume 5 people originally have the virus and that in early stages the number of people infected is increasing approximately exponentially, with a continuous growth rate of 1.19. Assume further that in the long run, they estimate approximately 9500 people will be infected.
(You may wish to sketch a graph of your logistic function P=(L)/(1+Ce^−kt) to help you understand this situation and answer the questions below.)
(a) What should we use for the parameters k and L?
k=_____________
L=______________
(b) Use the fact that when t=0, we have P=5, to find C.
C=_____________
(c) What is the value of P when the rate at which people are becoming infected peaks?
P=__________________
When does this occur?
t=__________________
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
