SOLUTION: An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days af

Question 1124526: An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model
P = −t^2 + 17t + 180, where 1 ≤ t ≤ 6.
Find the day that 240 students had the flu. Recall that the restriction on t is at most 6.
t =
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
240=-t^2+17t+180
so t^2-17t+60=0
(t-12)(t-5)=0
t=5 days, since 12 days is not allowed.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

The lower value is OK,
On the 5th day 240students got the flu
Here�s the plot:

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