document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174492>Question 1174492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if 'w' varies jointly with 'x' and 'y', and inversely as the square of 'z', how would 'w be affected if 'x' is tripled and both 'y' and 'z' 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 #799914 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=799914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the base formula is:\r<BR>\n" );
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document.write( "w = (k * x * y / z^2)\r<BR>\n" );
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document.write( "if x is tripled and y is doubled and z is doubled, the formula becomes:\r<BR>\n" );
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document.write( "w = k * 3 * x * 2 * y / (2 * z)^2\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "w = 6 * k * x * y / (4 * z^2)\r<BR>\n" );
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document.write( "rearrange the equation to get:\r<BR>\n" );
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document.write( "w = (6 / 4) * (k * x * y / z^2)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "w = 1.5 * (k * x * y / z^2).\r<BR>\n" );
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document.write( "the value of w should be 1.5 times what it was originally.\r<BR>\n" );
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document.write( "to see how this works, let k = 5 and w = 2 and y = 4 and z = 6.\r<BR>\n" );
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document.write( "thee values were picked randomly.\r<BR>\n" );
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document.write( "the original equation becomes:\r<BR>\n" );
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document.write( "w = 5 * 2 * 4 / 6^2 = 40/36 = 1.1111111.....\r<BR>\n" );
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document.write( "the revised equation becomes:\r<BR>\n" );
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document.write( "w = 5 * 3 * 2 * 2 * 4 / 12^2\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "w = 240 / 144 = 1.6666666....\r<BR>\n" );
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document.write( "1.1111111..... * 1.5 = 1.666666....\r<BR>\n" );
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document.write( "this confirms the solution is correct as far as i can tell.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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