SOLUTION: The population of a village can be modelled by the function P(x)=-22.5x^2+428x+1100, where x is the number of years since 1990. According to the model, when will the population be

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The population of a village can be modelled by the function P(x)=-22.5x^2+428x+1100, where x is the number of years since 1990. According to the model, when will the population be      Log On


   



Question 1032909: The population of a village can be modelled by the function
P(x)=-22.5x^2+428x+1100, where x is the number of years since 1990. According to the model, when will the population be the highest?
Thank you very much

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
The highest point for P(x) is P%28-b%2F2a%29
The year with the highest population will be 1990 + -b/2a
-b%2F2a = -428%2F%282%2A-22.5%29 = 428%2F45
1990 + 428/45 = 1999 23/45