The logistic growth function f(t)= 108,000 1+5100e−t describes the number of​ people, f(t),

Question

The logistic growth function

f(t)=108,0001+5100e−t

describes the number of​ people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community.

a. How many people became ill with the flu when the epidemic​ began?

b. How many people were ill by the end of the fourth​ week?

c. What is the limiting size of the population that becomes​ ill?

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Part 1

a. The number of people initially infected is

enter your response here.

​(Round to the nearest whole number as​ needed.)

Part 2

b. The number of people infected after 4 weeks is

enter your response here.

​(Round to the nearest whole number as​ needed.)

Part 3

c. The limiting size of the infected population is

enter your response here.

​(Round to the nearest whole number as​ needed.)

Answer 1

a) f(0)= 1080001+5100e^-t

1080001 +5100e^-0

108001+5100

113101

b) f(4)=1080001+5100e^(-4)

1080001+.0183156

1080000.98

c) f(infinity) =1080001+5100e^-0

=1080001