document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203246>Question 203246</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977224/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please Help!!! Thanks<BR>\n" );
document.write( "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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153343 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=153343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bs%5D+=+Ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"x%5Bs%5D+=+Ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >  So you can see that x varies directly with s^2 and inversely with t.\r<BR>\n" );
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document.write( "How does x change when s is doubled? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bs%5D+=+Ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"x%5Bs%5D+=+Ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >   doubling s means \"the new value for s is now 2 times the original s ... so use 2s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s%5D+=+K%282s%29%5E2%2Ft ALIGN=MIDDLE  ALT=\"x%5B2s%5D+=+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%5B2s%5D+=+4ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"x%5B2s%5D+=+4ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bs%5D ALIGN=MIDDLE  ALT=\"x%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s%5D ALIGN=MIDDLE  ALT=\"x%5B2s%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s%5D%2Fx%5Bs%5D ALIGN=MIDDLE  ALT=\"x%5B2s%5D%2Fx%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+4Ks%5E2%2Ft%29+%2F+%28Ks%5E2%2Ft%29 ALIGN=MIDDLE  ALT=\"%28+4Ks%5E2%2Ft%29+%2F+%28Ks%5E2%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > thus doubling s, makes x 4 times larger (makes sense since 2^2 = 4)\r<BR>\n" );
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document.write( "When both s and t are doubled?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s2t%5D+=+K%282s%29%5E2%2F%282t%29 ALIGN=MIDDLE  ALT=\"x%5B2s2t%5D+=+K%282s%29%5E2%2F%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s2t%5D+=+4Ks%5E2%2F%282t%29 ALIGN=MIDDLE  ALT=\"x%5B2s2t%5D+=+4Ks%5E2%2F%282t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s2t%5D+=+2Ks%5E2%2Ft ALIGN=MIDDLE  ALT=\"x%5B2s2t%5D+=+2Ks%5E2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bs%5D ALIGN=MIDDLE  ALT=\"x%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s2t%5D ALIGN=MIDDLE  ALT=\"x%5B2s2t%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2s2t%5D%2Fx%5Bs%5D ALIGN=MIDDLE  ALT=\"x%5B2s2t%5D%2Fx%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+2Ks%5E2%2Ft%29+%2F+%28Ks%5E2%2Ft%29 ALIGN=MIDDLE  ALT=\"%28+2Ks%5E2%2Ft%29+%2F+%28Ks%5E2%2Ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > thus doubling both s and t, doubles x\r<BR>\n" );
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