# SOLUTION: The number of people infected after t days is P = 200 + 5t - t2. Find the number of days until the number of people infected is 150.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The number of people infected after t days is P = 200 + 5t - t2. Find the number of days until the number of people infected is 150.      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Numbers, consecutive odd/even, digits Solvers Lessons Answers archive Quiz In Depth

 Question 188670: The number of people infected after t days is P = 200 + 5t - t2. Find the number of days until the number of people infected is 150.Answer by nerdybill(6958)   (Show Source): You can put this solution on YOUR website! P = 200 + 5t - t^2 The problem gives you: P = 150 150 = 200 + 5t - t^2 Moving everything to the left: t^2 - 5t - 200 + 150 = 0 t^2 - 5t - 50 = 0 (t-10)(t+5) = 0 . t = {-5, 10} Tossing out the negative solution we are left with: t = 10 days