document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120638>Question 120638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Technology. Driving down a mountain, Tom finds that he has descended 1800 ft<BR>\n" );
document.write( "in elevation by the time he is 3.25 mi horizontally away from the top of the<BR>\n" );
document.write( "mountain. Find the slope of his descent to the nearest hundredth.<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 #88434 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=88434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1\r<BR>\n" );
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document.write( "First convert 3.25 mi into feet\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.25%2A%285280_feet%2F1_mile%29=17160_feet ALIGN=MIDDLE  ALT=\"3.25%2A%285280_feet%2F1_mile%29=17160_feet\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So 3.25 miles is equivalent to 17,160 feet\r<BR>\n" );
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document.write( "Lets draw a picture to see whats going on:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C500%2C-5%2C10%2C-2%2C10%2C%0D%0Alocate%28-4%2C2%2Cheight=1800+ft%29%2C%0D%0Alocate%283%2C-1%2Cbase=17160+feet%29%2C%0D%0Aline%280%2C0%2C0%2C5%29%2C%0D%0Aline%280%2C5%2C8%2C0%29%2C%0D%0Aline%288%2C0%2C0%2C0%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remember, the slope is the \"rise\" (which is the height) over the \"run\" (which is the base)\r<BR>\n" );
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document.write( "So the slope is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Slope=rise%2Frun=height%2Fbase=-1800%2F17160 ALIGN=MIDDLE  ALT=\"Slope=rise%2Frun=height%2Fbase=-1800%2F17160\"   DISABLED_style= \"max-width:90%; height:auto;\" > note: since we are descending the rise is negative. So the \"rise\" is really a descent\r<BR>\n" );
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document.write( "Now reduce the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1800%2F17160 ALIGN=MIDDLE  ALT=\"-1800%2F17160\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2F143 ALIGN=MIDDLE  ALT=\"-15%2F143\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the slope is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2F143 ALIGN=MIDDLE  ALT=\"-15%2F143\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now if you want it in decimal form, simply divide 15 by 143 like this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2F143=-0.1048951048951 ALIGN=MIDDLE  ALT=\"-15%2F143=-0.1048951048951\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which to the nearest hundredth is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.10 ALIGN=MIDDLE  ALT=\"-0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the slope of his descent is roughly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.10 ALIGN=MIDDLE  ALT=\"-0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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