document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424085>Question 424085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Height and Weight Suppose that the weight of a<BR>\n" );
document.write( "person is directly proportional to the cube of the<BR>\n" );
document.write( "person’s height. If one person weighs twice as much<BR>\n" );
document.write( "as a (similarly proportioned) second person, by what<BR>\n" );
document.write( "factor is the heavier person’s height greater than the<BR>\n" );
document.write( "shorter person’s height?<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 #295725 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=295725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Height and Weight <BR>\n" );
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document.write( "Suppose that the weight of a<BR>\n" );
document.write( "person is directly proportional to the cube of the<BR>\n" );
document.write( "person’s height.<BR>\n" );
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document.write( "W = k*H^3<BR>\n" );
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document.write( "If one person weighs twice as much<BR>\n" );
document.write( "as a (similarly proportioned) second person, by what<BR>\n" );
document.write( "factor is the heavier person’s height greater than the<BR>\n" );
document.write( "shorter person’s height?<BR>\n" );
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document.write( "Let the 2nd person's weight be \"x\"<BR>\n" );
document.write( "x = k*H^3<BR>\n" );
document.write( "H = [x/k]^(1/3) (2nd person's height)<BR>\n" );
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document.write( "The 1st person's weight is \"2x\"<BR>\n" );
document.write( "2x = kH^3<BR>\n" );
document.write( "H = [2x/k]^(1/3)<BR>\n" );
document.write( "H = 2^(1/3)[x/k]^(1/3) (1st person's height)<BR>\n" );
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document.write( "By what factor is the heavier person’s height greater than the<BR>\n" );
document.write( "shorter person’s height?<BR>\n" );
document.write( "Answer: 2^(1/3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );