SOLUTION: Between 1995 and 2010, the population of Smalltown, USA (in thousands) can modeled by f(x)=-2x^2+30+17, where x=0 represents 1993. Based on this model, what was the maximum popula

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Question 1025991: Between 1995 and 2010, the population of Smalltown, USA (in thousands) can modeled by f(x)=-2x^2+30+17, where x=0 represents 1993. Based on this model, what was the maximum population? In what year did the population of Smalltown USA reach its maximum?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

( Is this correct? )
The formula for maximum is:



Plug this result back into formula





----------------------
(a)
The maximum population was 129,500
(b)
1993 + 15/2 = 1993 + 7.5
1993 + 7.5 = 2000
The maximum was reached in 2000
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Here's the plot:


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