document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507544>Question 507544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The safe load a beam can support varies jointly as the width and the square of the depth and inversely as the length. If a 2 x 8 inch beam 16 feet long is turned so that the width is 2 inches, it can support 2,000 pounds. How much weight can the same bea, support if it is turned so that the width is 8 inches?<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 #340599 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=340599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First write the equation of proportionality:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+k%2Aw%2Ad%5E2%2Fl ALIGN=MIDDLE  ALT=\"L+=+k%2Aw%2Ad%5E2%2Fl\"   DISABLED_style= \"max-width:90%; height:auto;\" > To find the value of k, the constant of proportionality, substitute the given values of: L = 2000, w = 2, d = 8, and l = 16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000+=+k%2A2%2A8%5E2%2F16 ALIGN=MIDDLE  ALT=\"2000+=+k%2A2%2A8%5E2%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for k. Multiply both sides by 16.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32000+=+k%2A128 ALIGN=MIDDLE  ALT=\"32000+=+k%2A128\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide by 128.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+250 ALIGN=MIDDLE  ALT=\"k+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we can rewrite the first equation as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+250%2Aw%2Ad%5E2%2Fl6 ALIGN=MIDDLE  ALT=\"L+=+250%2Aw%2Ad%5E2%2Fl6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now we can find the safe load, L, for the given parameters: w = 8, d = 2, and l = 16.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+250%2A8%2A2%5E2%2F16 ALIGN=MIDDLE  ALT=\"L+=+250%2A8%2A2%5E2%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+8000%2F16 ALIGN=MIDDLE  ALT=\"L+=+8000%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+500 ALIGN=MIDDLE  ALT=\"L+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" >pounds. </SPAN>\n" );
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