SOLUTION: Public health records indicate that 't' weeks after the outbreak of a certain form of influenza, the number of people who had caught the disease was given by Q&#8201;(t) &#8201;

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Question 1107574: Public health records indicate that 't' weeks after the outbreak of a certain form of influenza, the number of people who had caught the disease was given by
Q (t) = 19/(4 + 20e^(−1.5t))
Where Q (t) is given in thousands of people.
If the trend continues, approximately how many people will eventually contract the disease? Round your answer to the nearest person.
Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

As in any logistic function, as time continues to pass (as t goes to infinity), the exponential with a negative exponent goes to zero. So the limit as time goes to infinity of this logistic function is 19/4.

Since the formula gives the number of thousands, the number of people who caught the disease is 19000/4 = 4750.

SOLUTION: Public health records indicate that 't' weeks after the outbreak of a certain form of influenza, the number of people who had caught the disease was given by Q&#8201;(t) &#8201;

SOLUTION: Public health records indicate that 't' weeks after the outbreak of a certain form of influenza, the number of people who had caught the disease was given by Q (t)