document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296682>Question 296682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The force exerted on the soles of the feet for a typical basketball jump shot is directly proportional to the shooter's weight. If a 150 lb player exerts a force of 2000 lbs, what force is exerted by a 6ft 8in. 280 lb player? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213741 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=213741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let F = force exerted and w = weight\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So \"The force exerted on the soles of the feet for a typical basketball jump shot is directly proportional to the shooter's weight\" means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=kw ALIGN=MIDDLE  ALT=\"F=kw\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some constant 'k'\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Because we're given that \"a 150 lb player exerts a force of 2000 lbs\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=2000 ALIGN=MIDDLE  ALT=\"F=2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=150 ALIGN=MIDDLE  ALT=\"w=150\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Plug these into the equation above to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000=k%28150%29 ALIGN=MIDDLE  ALT=\"2000=k%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. From here, divide both sides by 150 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=2000%2F150=40%2F3 ALIGN=MIDDLE  ALT=\"k=2000%2F150=40%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=%2840%2F3%29w ALIGN=MIDDLE  ALT=\"F=%2840%2F3%29w\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now just plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=280 ALIGN=MIDDLE  ALT=\"w=280\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find 'F' for a 280 lb player. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: the given info on the height of the player has nothing to do with the problem. That's just there to throw you off. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );