document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703754>Question 703754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andy has 9 minutes to study for a Spanish exam. It takes him 6 minutes to write a practice essay, and 9 minutes to review the vocab froma lesson. Andy want to write E essays and review the vocab in S lessons. \r<BR>\n" );
document.write( "\n" );
document.write( "a) Write a inequality that describes all the possible values of e and s.<BR>\n" );
document.write( "b) graph these values as a function of e.\r<BR>\n" );
document.write( "\n" );
document.write( "I NEED HELP! :) Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #433727 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=433727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Andy has just 9 minutes to study for his Spanish exam, Andy is in trouble.<BR>\n" );
document.write( "Andy NEEDS HELP!<BR>\n" );
document.write( " <BR>\n" );
document.write( "Writing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" > practice essays would take Andy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6e ALIGN=MIDDLE  ALT=\"6e\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes.<BR>\n" );
document.write( "Reviewing the vocabulary in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > lessons would take Andy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9s ALIGN=MIDDLE  ALT=\"9s\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes.<BR>\n" );
document.write( "Doing both would require <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6e%2B9s ALIGN=MIDDLE  ALT=\"6e%2B9s\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes.<BR>\n" );
document.write( " <BR>\n" );
document.write( "If all the time Andy has to study is 9 minutes,<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6e%2B9s%3C=9 ALIGN=MIDDLE  ALT=\"6e%2B9s%3C=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "b) Not sure what is meant by \"these values\", but<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%3E=0 ALIGN=MIDDLE  ALT=\"s%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%3E=0 ALIGN=MIDDLE  ALT=\"e%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e=0 ALIGN=MIDDLE  ALT=\"e=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Andy writes no essay) we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9s%3C=9 ALIGN=MIDDLE  ALT=\"9s%3C=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=0 ALIGN=MIDDLE  ALT=\"s=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=1 ALIGN=MIDDLE  ALT=\"s=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(Andy can review vocabulary for 1 lesson, or review nothing).<BR>\n" );
document.write( "I<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e=1 ALIGN=MIDDLE  ALT=\"e=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Andy writes 1 essay) we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B9s%3C=9 ALIGN=MIDDLE  ALT=\"6%2B9s%3C=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9s%3C=3 ALIGN=MIDDLE  ALT=\"9s%3C=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%3C%2B1%2F3 ALIGN=MIDDLE  ALT=\"s%3C%2B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=0 ALIGN=MIDDLE  ALT=\"s=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(There's no time to review vocabulary).<BR>\n" );
document.write( "I could graph that as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-0.5%2C1.5%2C-0.5%2C1.5%2C%0D%0Agrid%281%29%2C%0D%0Alocate%281.3%2C-0.02%2C%22e=%22%29%2Clocate%28-0.2%2C1.45%2C%22s=%22%29%2C%0D%0Ared%28circle%280%2C0%2C0.04%29%29%2Cred%28circle%280%2C1%2C0.04%29%29%2C%0D%0Ared%28circle%281%2C0%2C0.04%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "If there was a typo, and Andy really had 90 minutes, then we are looking for pairs of integers (e,s) that are solutions to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6e%2B9s%3C=90 ALIGN=MIDDLE  ALT=\"6e%2B9s%3C=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That would be the integer pairs in the red solution zone:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C18%2C-2%2C18%2C6x%2B9y%3C=90%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C18%2C-2%2C18%2C6x%2B9y%3C=90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C18%2C-2%2C18%2C%0D%0Agrid%281%29%2C+green%28line%28-2%2C34%2F3%2C18%2C-2%29%29%2C%0D%0Ared%28circle%280%2C0%2C0.2%29%29%2Cred%28circle%281%2C0%2C0.2%29%29%2Cred%28circle%282%2C0%2C0.2%29%29%2C%0D%0Ared%28circle%283%2C0%2C0.2%29%29%2Cred%28circle%284%2C0%2C0.2%29%29%2Cred%28circle%285%2C0%2C0.2%29%29%2C%0D%0Ared%28circle%286%2C0%2C0.2%29%29%2Cred%28circle%287%2C0%2C0.2%29%29%2Cred%28circle%288%2C0%2C0.2%29%29%2C%0D%0Ared%28circle%289%2C0%2C0.2%29%29%2Cred%28circle%2810%2C0%2C0.2%29%29%2Cred%28circle%2811%2C0%2C0.2%29%29%2C%0D%0Ared%28circle%2812%2C0%2C0.2%29%29%2Cred%28circle%2813%2C0%2C0.2%29%29%2Cred%28circle%2814%2C0%2C0.2%29%29%2C%0D%0Ared%28circle%280%2C1%2C0.2%29%29%2Cred%28circle%281%2C1%2C0.2%29%29%2Cred%28circle%282%2C1%2C0.2%29%29%2C%0D%0Ared%28circle%283%2C1%2C0.2%29%29%2Cred%28circle%284%2C1%2C0.2%29%29%2Cred%28circle%285%2C1%2C0.2%29%29%2C%0D%0Ared%28circle%286%2C1%2C0.2%29%29%2Cred%28circle%287%2C1%2C0.2%29%29%2Cred%28circle%288%2C1%2C0.2%29%29%2C%0D%0Ared%28circle%289%2C1%2C0.2%29%29%2Cred%28circle%2810%2C1%2C0.2%29%29%2C%0D%0Ared%28circle%2810%2C2%2C0.2%29%29%2Cred%28circle%2811%2C2%2C0.2%29%29%2Cred%28circle%2811%2C1%2C0.2%29%29%2C%0D%0Ared%28circle%2812%2C1%2C0.2%29%29%2Cred%28circle%2813%2C1%2C0.2%29%29%2Cred%28circle%2812%2C2%2C0.2%29%29%2C%0D%0Ared%28circle%289%2C4%2C0.2%29%29%2Cred%28circle%2810%2C3%2C0.2%29%29%2Cred%28circle%289%2C4%2C0.2%29%29%2C%0D%0Ared%28circle%287%2C5%2C0.2%29%29%2Cred%28circle%286%2C6%2C0.2%29%29%2Cred%28circle%284%2C7%2C0.2%29%29%2C%0D%0Ared%28circle%283%2C8%2C0.2%29%29%2Cred%28circle%281%2C9%2C0.2%29%29%2Cred%28circle%280%2C10%2C0.2%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Too many red circles to draw,<BR>\n" );
document.write( "but I guess you get the idea. (By now, I am not willing to give Andy 90 minutes). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );