document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41626>Question 41626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A variable z varies jointly with x and the square of y.  If z = 6 when x = 4 and y = 3, write the equation of joint variation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26891 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As z varies jointly as x and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we can write <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+k%2Ax%2Ay%5E2 ALIGN=MIDDLE  ALT=\"z+=+k%2Ax%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >_________(1) <BR>\n" );
document.write( "where k = constant of variation\r<BR>\n" );
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document.write( "Put x = 4, y = 3 and z = 6 in equation (1).<BR>\n" );
document.write( "Thus we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+k%2A4%2A3%5E2+=+36%2Ak ALIGN=MIDDLE  ALT=\"6+=+k%2A4%2A3%5E2+=+36%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=6%2F36+=+1%2F6 ALIGN=MIDDLE  ALT=\"k=6%2F36+=+1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence the equation of variation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28xy%5E2%29%2F6 ALIGN=MIDDLE  ALT=\"z=%28xy%5E2%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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