SOLUTION: Between 1989 and 1998, the population of small town, USA (in thousands) can be modeled by f(x)=0.24x^2-0.96x+4, where x=0 represents 1989. Based on this model, in what year did the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Between 1989 and 1998, the population of small town, USA (in thousands) can be modeled by f(x)=0.24x^2-0.96x+4, where x=0 represents 1989. Based on this model, in what year did the      Log On


   



Question 1089529: Between 1989 and 1998, the population of small town, USA (in thousands) can be modeled by f(x)=0.24x^2-0.96x+4, where x=0 represents 1989. Based on this model, in what year did the population of small town reach its minimum?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+.24x%5E2+-+.96x+%2B+4+
1989 = 0
1998 = 9
-------------
+x%5Bmin%5D+=+-b%2F%282a%29+
+x%5Bmin%5D+=+.96%2F.48+
+x%5Bmin%5D+=+2+
1989 + 2 = 1991
The minimum population was in 1991
-----------------------
Here's the plot:
+graph%28+400%2C+400%2C+-1%2C+10%2C-2%2C+20%2C+.24x%5E2+-+.96x+%2B+4+%29+