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 + 130, where 1 ≤ t ≤ 6. find the day that 160 students had the flu. recall that the restriction on t is at most 6.

At the 3rd day 160 students caught flu.

Step-by-step explanation:

Consider the provided model P = − t ² + 13t + 130 where 1 ≤ t ≤ 6

The total number of students is represents by P.

We need to find the day that 160 students had the flu.

Substitute the value of P=160 in above formula.

Hence the value of t=10 or t=3

But it is given that  1 ≤ t ≤ 6, Therefore select t=3

Hence, at the 3rd day 160 students caught flu.

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step-by-step explanation: