document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257349>Question 257349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x) varies inversely as x, prove that f(x2) = f(x1)(x1/x2).  Use this formula to solve the following direct variation without solving for the constant of variation.  \r<BR>\n" );
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document.write( "The volume of a gas varies inversely as the pressure (assuming the temperature remains constant.)  An experiment shows that a particular gas has a volume of 2.4 liters under a pressure of 280 grams per square centimeter.  What volume will the gas have when a pressure of 330 grams per square centimeter is applied?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189300 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=189300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+k%2Fx ALIGN=MIDDLE  ALT=\"f%28x%29+=+k%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "prove:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x2%29+=+f%28x1%29%2A%28x1%2Fx2%29 ALIGN=MIDDLE  ALT=\"f%28x2%29+=+f%28x1%29%2A%28x1%2Fx2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "f(x1) = k/x1<BR>\n" );
document.write( "f(x2) = k/x2<BR>\n" );
document.write( "f(x1)*(x1/x2) = (k/x1)*(x1/x2) = k/x2<BR>\n" );
document.write( "therefore,<BR>\n" );
document.write( "f(x2) = f(x1)*(x1/x2)<BR>\n" );
document.write( "--<BR>\n" );
document.write( "We can solve the question using<BR>\n" );
document.write( "V2 = P1*V1/P2<BR>\n" );
document.write( "V2 = 280*2.4/330 ~ 2.03636 </SPAN>\n" );
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