document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180660>Question 180660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number (C) of U.S Supreme Court cases on docket from 1996 to 2001 can be approximated by the linear equation:<BR>\n" );
document.write( "C= 344.3t + 5400, 6<_t <_11<BR>\n" );
document.write( "where t is the year, with t=6 corresponding to 1996. If this linear pattern continues, in what year will the number of U.S. Supreme Court cases reach 11,000?<BR>\n" );
document.write( "Please help. I don't even know where to start! Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135457 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=135457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with your equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=+344.3t+%2B+5400 ALIGN=MIDDLE  ALT=\"C=+344.3t+%2B+5400\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%3C=t%3C=11 ALIGN=MIDDLE  ALT=\"6%3C=t%3C=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find t when C=11000.<BR>\n" );
document.write( "You assume that the equation stays linear when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E11 ALIGN=MIDDLE  ALT=\"t%3E11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=344.3t+%2B+5400=11000 ALIGN=MIDDLE  ALT=\"344.3t+%2B+5400=11000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=344.3t=5600 ALIGN=MIDDLE  ALT=\"344.3t=5600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=16.3 ALIGN=MIDDLE  ALT=\"t=16.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since t=6 is the year 1996, then year t=16 would be year 2006. <BR>\n" );
document.write( "The leftover 0.3 year would get you to roughly 3rd or 4th month of 2006. <BR>\n" );
document.write( "I'm not sure if you need to be that exact or if you can say between 2006 and 2007.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );