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 + 13t + 170,
where
1 ≤ t ≤ 6.
find the day that 210 students had the flu. recall that the restriction on t is at most 6.