SOLUTION: The formula P = 0.68x2 - 0.047x + 3 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the populati

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Question 1173084: The formula P = 0.68x2 - 0.047x + 3 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 27,198 fish?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi, 

 P = 0.68x^2 - 0.047x + 3  

 approximate population P, in thousands

27,198 fish , P = ~27

27 = 0.68x^2 - 0.047x + 3 

0.68x^2 - 0.047x - 24 = 0

Solving

x = 5.975   (tossing out negative solution)

Towards to end of the 5th year, the population will reach 27,198 fish

5 years after 1997 = 2002