document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693463>Question 693463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The percent increase for an in-state tuition at a certain public university during the years 1991 through 1999 can be modeled by the quadratic function defended by f(x)= 0.156x2( power) -2.02x+10.2, where x=1 represents 1991, x=2 represents 1992, and so on. <BR>\n" );
document.write( "* based on this model, by what percent ( to the nearest tenth) did the tuition increase in 1993? <BR>\n" );
document.write( "* in what year was the minimum tuition increase? ( round to the nearest year.) to the nearest tenth, by what percent did tuition increase that year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427429 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The percent increase for an in-state tuition at a certain public university during the years 1991 through 1999 can be modeled by the quadratic function defended by f(x)= 0.156x2( power) -2.02x+10.2, where x=1 represents 1991, x=2 represents 1992, and so on.<BR>\n" );
document.write( ":<BR>\n" );
document.write( " f(x)= 0.156x^2 - 2.02x + 10.2,<BR>\n" );
document.write( ":<BR>\n" );
document.write( "* based on this model, by what percent ( to the nearest tenth) did the tuition increase in 1993?<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "f(x) =  0.156x^2 - 2.02x + 10.2<BR>\n" );
document.write( "f(3) = .156(3^2) - 2.02(3) + 10.2<BR>\n" );
document.write( "f(3) = 1.404 - 6.06 + 10.2<BR>\n" );
document.write( "f(3) = 5.5%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "* in what year was the minimum tuition increase? ( round to the nearest year.) to the nearest tenth, by what percent did tuition increase that year?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The minimum occurs at the axis of symmetry. x = -b/(2a)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-2.02%29%29%2F%282%2A.156%29 ALIGN=MIDDLE  ALT=\"%28-%28-2.02%29%29%2F%282%2A.156%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.02%2F.312 ALIGN=MIDDLE  ALT=\"2.02%2F.312\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 6.474 ~ 6  which is 2006<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the percent when x = 6<BR>\n" );
document.write( "f(6) =  0.156(6^2) - 2.02(6) + 10.2,<BR>\n" );
document.write( "f(6) = 5.6 - 12.12 + 10.2<BR>\n" );
document.write( "f(6) ~ 3.7% increase in 2006, the minimum\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );