Question
Watch the video and then solve the problem given below.
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The logistic growth function
influenza
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?
a. The number of people initially infected is
(Round to the nearest whole number as needed.)
Click here to watch the video.
The logistic growth function
influenza
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?
a. The number of people initially infected is
(Round to the nearest whole number as needed.)
Ask by Mcdonald Moreno. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Approximately 23 people were ill when the epidemic began.
Solution
Step 1. Determine the Initial Number of Infected People (When
The logistic growth function is given by
To find the number of people who became ill when the epidemic began, substitute
Since
Calculating the value:
Rounded to the nearest whole number, approximately
Final Answer to Part (a): Approximately
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Beyond the Answer
To find the number of people who became ill when the epidemic began, we need to evaluate the function
The formula is:
Plugging in
Rounding to the nearest whole number, approximately 23 people became ill with the flu when the epidemic began.
Now, let’s go ahead and find out how many people were ill by the end of the fourth week. We will evaluate
Using the logistic growth function:
Now calculating
Substituting back into the function:
Rounding this, we find approximately 1264 people were ill by the end of the fourth week.
Finally, to determine the limiting size of the population that becomes ill, we can refer to the upper limit of our logistic growth function, which is 115,000. Hence, the limiting size of the population that becomes ill is 115,000 people.
