document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165776>Question 165776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This has to do with direct, indirect, and joint variation. Sorry but I couldn't find it anywhere and I need help desparately!\r<BR>\n" );
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document.write( "Here are the problems:<BR>\n" );
document.write( "1. If y varies directly with x, and y=10 when x=15, find y when x=6.<BR>\n" );
document.write( "2. If x varies inversely as y and x=2 when y=8, find x when y=17.<BR>\n" );
document.write( "3. If y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=9 and z=4?\r<BR>\n" );
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document.write( "Thanks a bunch for any help!!\r<BR>\n" );
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document.write( "Joanne </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122240 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. if y varies directly with x this means that as y increases x increases or if y decreases then x decreases. so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F15=y%2F6 ALIGN=MIDDLE  ALT=\"10%2F15=y%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > cross multiply and get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15y=60 ALIGN=MIDDLE  ALT=\"15y=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "2. if x varies inversely as y this means that as x increases then y decreases and vise versa.  so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F8=17%2Fy ALIGN=MIDDLE  ALT=\"2%2F8=17%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > cross multiply and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=136 ALIGN=MIDDLE  ALT=\"2y=136\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=68 ALIGN=MIDDLE  ALT=\"y=68\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3 now y varies directly to x and inversely to z squared so <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=yz%5E2%2Fx=3%284%29%5E2%2F2=48%2F2=24 ALIGN=MIDDLE  ALT=\"yz%5E2%2Fx=3%284%29%5E2%2F2=48%2F2=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >  so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=yz%5E2%2F24 ALIGN=MIDDLE  ALT=\"x=yz%5E2%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%284%29%5E2%2F24 ALIGN=MIDDLE  ALT=\"x=9%284%29%5E2%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=144%2F24=6 ALIGN=MIDDLE  ALT=\"x=144%2F24=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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