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 = −t2 + 17t + 190,  where  1 ≤ t ≤ 6.  Find the day that 250 students had the flu. Recall that the restriction on t is at most 6

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 = −t2 + 17t + 190,

 where 

1 ≤ t ≤ 6.

 Find the day that 250 students had the flu. Recall that the restriction on t is at most 6.

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