document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169397>Question 169397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeters.\r<BR>\n" );
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document.write( "Help, thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124895 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=124895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> direct proportion would be x = k*y<BR>\n" );
document.write( "inverse proportion would be x = k/y<BR>\n" );
document.write( "where k is a constant of proportionality.<BR>\n" );
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document.write( "if the volume of gas is inversely proportional to the pressure on the gas, then if we let V = volume, P = pressure, and K = constant of proportionality, we have:<BR>\n" );
document.write( "V = K/P<BR>\n" );
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document.write( "if V = 6 cubic centimeters when the pressure on the gas is 8 kilograms per square centimeter, then the equation becomes:<BR>\n" );
document.write( "6 = K/8<BR>\n" );
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document.write( "if we solve for K, we get<BR>\n" );
document.write( "K = 8*6 = 48<BR>\n" );
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document.write( "equation becomes:<BR>\n" );
document.write( "6 = 48/8 = 6 which is correct.<BR>\n" );
document.write( "the constant of proportionality = K = 48.<BR>\n" );
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document.write( "your question is:<BR>\n" );
document.write( "what is the volume when the pressure is 12 kilograms per square centimeters.<BR>\n" );
document.write( "using K = 48, we get:<BR>\n" );
document.write( "V = 48/12 = 4 cubic centimeters.<BR>\n" );
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document.write( "the pressure went from 8 to 12 which means it increased by a factor of 12/8 = 1.5<BR>\n" );
document.write( "since volume and pressure are inversely proportional, you would expect that the volume decreased by the same factor.<BR>\n" );
document.write( "6 / 1.5 = 4<BR>\n" );
document.write( "it did.<BR>\n" );
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