document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058487>Question 1058487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A biologist took a count of the number of fish in a particular lake, and recounted the lake’s population of fish on each of the next six weeks. Where the number of weeks is w and the population is p. \r<BR>\n" );
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document.write( "(w,p): (0,350) (1,353) (2,382) (3,437) (4,518) (5,625) (6,758)\r<BR>\n" );
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document.write( "Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.\r<BR>\n" );
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document.write( "- I already know that the answer is P(x)=13x^2-10x+350; 917 fish. I just need to know how to get that answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673540 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use a general quadratic equation and solve using three of the given points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"y=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So using (0,350),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350=a%280%29%5E2%2Bb%280%29%2Bc ALIGN=MIDDLE  ALT=\"350=a%280%29%5E2%2Bb%280%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=350 ALIGN=MIDDLE  ALT=\"c=350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1,353)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=353=a%281%29%5E2%2Bb%281%29%2B350 ALIGN=MIDDLE  ALT=\"353=a%281%29%5E2%2Bb%281%29%2B350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=3 ALIGN=MIDDLE  ALT=\"a%2Bb=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2,382)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=382=a%282%29%5E2%2Bb%282%29%2B350 ALIGN=MIDDLE  ALT=\"382=a%282%29%5E2%2Bb%282%29%2B350\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2B2b=32 ALIGN=MIDDLE  ALT=\"4a%2B2b=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2Bb=16 ALIGN=MIDDLE  ALT=\"2a%2Bb=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 1 from 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2Bb-a-b=16-3 ALIGN=MIDDLE  ALT=\"2a%2Bb-a-b=16-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=13 ALIGN=MIDDLE  ALT=\"a=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then use either equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2Bb=3 ALIGN=MIDDLE  ALT=\"13%2Bb=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-10 ALIGN=MIDDLE  ALT=\"b=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13x%5E2-10x%2B350 ALIGN=MIDDLE  ALT=\"y=13x%5E2-10x%2B350\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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