SOLUTION: The formula P=0.64x^2-0.041x+3 models the approximate population, P, in thousands, for a species of fish in a pond, x years after 1997. During what year will the population reach 5

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The formula P=0.64x^2-0.041x+3 models the approximate population, P, in thousands, for a species of fish in a pond, x years after 1997. During what year will the population reach 5      Log On


   

Question 300360: The formula P=0.64x^2-0.041x+3 models the approximate population, P, in thousands, for a species of fish in a pond, x years after 1997. During what year will the population reach 54,471 thousand fish?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
0.64x%5E2-0.041x%2B3=54.471+
0.64x%5E2-0.041x-51.471=0+
Use the quadratic formula,

x+=+%280.041+%2B-+sqrt%28+0.001681%2B131.76576%29+%29%2F%281.28%29+
x+=+%280.041+%2B-+11.479+%29%2F%281.28%29+
Only the positive x value makes sense in this problem,
x+=+11.52%2F1.28+
x+=+9
Nine years after 1997 (or 2006), the population will be 54,471.