Problem

Question 2 of 10, Step 1 of 2
$\theta / 14$
Correct
The function $N(t)=\frac{12,000}{1+999 e^{-1}}$ models the number of people in a small town who have caught the flu $t$ weeks after the initial outbreak.

Step 1 of 2: How many people were ill initially? Round to the nearest person.

Answer
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Answer

The initial number of people who were ill is \(\boxed{12}\).

Steps

Step 1 :The function \(N(t)=\frac{12,000}{1+999 e^{-t}}\) models the number of people in a small town who have caught the flu \(t\) weeks after the initial outbreak.

Step 2 :To find out how many people were ill initially, we substitute \(t=0\) into the function \(N(t)\).

Step 3 :Calculate the number of people who were ill initially and round the result to the nearest person.

Step 4 :The initial number of people who were ill is \(\boxed{12}\).

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