SOLUTION: 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 150. Any help would be really appreciated.

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Question 265215: 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 150.
Any help would be really appreciated.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
P=200+5t-t^2
150=-t^2+5t+200
t^2-5t-200+150=0
t^2-5t-50=0
(t-10)(x+5)=0
t-10=0
t=10 days it will take for 150 people to be infected.