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

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Question 1132990: 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 + 13t + 120, where 1 ≤ t ≤ 6. Find the day that 160 students had the flu. Recall that the restriction on t is at most 6.

Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


We need to find the value of t that is less than or equal to 6 for which

-t%5E2%2B13t%2B120+=+160

Solve the equation by factoring; one of the solutions will satisfy the condition that it is less than 6; the other will not.