document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038500>Question 1038500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``Given that X is inversely proportional to the square of Y. It is known that x = 8 for a particular value of Y. When Y is increased by 200%, find<BR>\n" );
document.write( "(a) the value of X,<BR>\n" );
document.write( "(b) the percentage change in the value of X''.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653205 by </B><A HREF=/tutors/aboutme.mpl?userid=Othel><B>Othel(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Othel><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=653205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are told that X is inversely proportional to the square of Y. So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y%5E2=%281%2FX%29 ALIGN=MIDDLE  ALT=\"Y%5E2=%281%2FX%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=%281%2FY%5E2%29 ALIGN=MIDDLE  ALT=\"X=%281%2FY%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let us use the first of the two options.<BR>\n" );
document.write( "If x=8, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y%5E2=%281%2F8%29 ALIGN=MIDDLE  ALT=\"Y%5E2=%281%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=sqrt%281%2F8%29=%281%2Fsqrt%288%29%29=%281%2F%282%2Asqrt%282%29%29%29=%282%2Asqrt%282%29%2F8%29=%28sqrt%282%29%2F4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we will raise our value of Y by 200%...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2Asqrt%282%29%29%2F4%29=%281%2FX%29 ALIGN=MIDDLE  ALT=\"%28%282%2Asqrt%282%29%29%2F4%29=%281%2FX%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now just a little algebra...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2AX%2Asqrt%282%29%29=4 ALIGN=MIDDLE  ALT=\"%282%2AX%2Asqrt%282%29%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Then..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2AX=%284%2Fsqrt%282%29%29=4%2F%282%2Asqrt%282%29%29=2%2Fsqrt%282%29=2%2Asqrt%282%29%2F2=%28sqrt%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "After raising Y by 200%, the value of X is...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=sqrt%282%29 ALIGN=MIDDLE  ALT=\"X=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And comparing this to our first value of x, we find that when X=8, and then Y is raised by 200%, X is DECREASED by Approximately 82.3 %. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%28sqrt%282%29%2F8%29=.8232233047 ALIGN=MIDDLE  ALT=\"1-%28sqrt%282%29%2F8%29=.8232233047\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check your answer!<BR>\n" );
document.write( "I hope this helps! Learn on!\r<BR>\n" );
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document.write( "...<BR>\n" );
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