SOLUTION: The number N people who will contract influenza after t days after a group of 1000 people are put in contact with a single person with influenza can be modeled by n=1000/(1+999.10^

Question 1121617: The number N people who will contract influenza after t days after a group of 1000 people are put in contact with a single person with influenza can be modeled by n=1000/(1+999.10^-0.17t).
Question is:
2. Will everyone eventually contact the disease. Why?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
n=1000/(1+999.10^-0.17t)
as t goes to infinity, 999.10^(-0.17t) goes to 0 and the fraction becomes 1000/1 or 1000. Mathematically, the model is asymptotic and never reaches 1+0 for the denominator. Realistically, however, it becomes close enough to 1 very quickly at any reasonable rounding error to be 1 for this to be everybody. Biologically, this may not happen with 1000 people, but it certainly could.

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