Question 304022
the number of people infected after t days is p = 200 + 5t -t^2. find the number of days until the number of people infected is 176.

176= 200 +5t-t^2

176-200=5t-t^2

-24-5t+t^2=0

t^2-5t-24=0

t^2-8t+3t-24=0

t(t-8)+3(t-8)=0

(t-8)(t+3)=0

t=8 Or t= -3

T= 8 is the number of days

Ananth