document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125838>Question 125838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't figure this out for the life of me...HELP!!! This has to do with direct and inverse variation.\r<BR>\n" );
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document.write( "The problem is:  x varies directly as the square of s and inversely as t.  How does x change when s is doubled? When both s and t are doubled?\r<BR>\n" );
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document.write( "Please help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92209 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=92209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can express \"x varies as the square of s and inversely as t\" like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"x+=+ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > k is the constant of variation.<BR>\n" );
document.write( "To see how x changes when s is doubled (2s), simply substitute 2s for s in the above formula and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+k%282s%29%5E2%2Ft ALIGN=MIDDLE  ALT=\"x+=+k%282s%29%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+k%284s%5E2%29%2Ft ALIGN=MIDDLE  ALT=\"x+=+k%284s%5E2%29%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4%28ks%5E2%2Ft%29 ALIGN=MIDDLE  ALT=\"x+=+4%28ks%5E2%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > but, as you can see, the factor in parentheses (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is the original x, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4x ALIGN=MIDDLE  ALT=\"x+=+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > or, in words, x is quadrupled when s is doubled.<BR>\n" );
document.write( "Now, when both s and t are doubled, substitute 2s and 2t for s and t respectively in the first formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"x+=+ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+k%282s%29%5E2%2F2t ALIGN=MIDDLE  ALT=\"x+=+k%282s%29%5E2%2F2t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+k%284s%5E2%29%2F2t ALIGN=MIDDLE  ALT=\"x+=+k%284s%5E2%29%2F2t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel 2's in the top and bottom.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%28ks%5E2%2Ft%29 ALIGN=MIDDLE  ALT=\"x+=+2%28ks%5E2%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2x ALIGN=MIDDLE  ALT=\"+x+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > so you see that x is doubled when both s and t are doubled. </SPAN>\n" );
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