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 How to enter your answer (opens in new window) people
Solution
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 \(\boxed{12}\).
