The logistic growth function at right describes the number of people, f(t), who have become ill with influenza (t) weeks after its initial outbreak in a particular community.
f (t) = 200,000/1+2000e^-t
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?

Given function is:

Part A:

When t = 0

=

=

=  

= 99.95 rounding to 100 people.

Part B:

=

=

=

= 5314.73

So, approximately 5,315 people were ill by the end of the 4th week.

Part C:

Let 't' be approaching infinity.

will approach zero, so f(infinity)=

f(infinity)=200000

Hence, the limit is that all of the persons can become ill.

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230