document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919253>Question 919253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help on my word problem homework. Would someone kindly help me please.Please show me the steps on how to solve the problem as well. Thank you.\r<BR>\n" );
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document.write( "Between 1989 and 1998, the population of small town, USA (in thousands) can be modeled by f(x)=0.8x^2-12.8x+54.2, where x=0 represents 1989. Based on this model, in what year did the population of small town reach its minimum?\r<BR>\n" );
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document.write( "My teacher said that the answer is: 1997\r<BR>\n" );
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document.write( "Would you please show me how he got the answer. Than you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557602 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=557602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=0.8x%5E2-12.8x%2B54.2 ALIGN=MIDDLE  ALT=\"f%28x%29=0.8x%5E2-12.8x%2B54.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of years after 1989.<BR>\n" );
document.write( "The maximum/minimum for a quadratic function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"g%28x%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > happens for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a ALIGN=MIDDLE  ALT=\"x=-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "(It is a minimum if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a maximum if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C0 ALIGN=MIDDLE  ALT=\"a%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=0.8 ALIGN=MIDDLE  ALT=\"a=0.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-12.8 ALIGN=MIDDLE  ALT=\"b=-12.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so there is a minimum for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%28-12.8%29%2F%282%2A0.8%29=12.8%2F1.6=8 ALIGN=MIDDLE  ALT=\"x=-%28-12.8%29%2F%282%2A0.8%29=12.8%2F1.6=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1989%2B8=1997 ALIGN=MIDDLE  ALT=\"1989%2B8=1997\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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