document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109300>Question 1109300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to design a fair race for two animals.  The animals need to finish in the same amount of time.  I can give the slower animal a shorter distance.  The race can be any length.  <BR>\n" );
document.write( "I need to develop a system of two linear equations showing the distance each animal can travel to model a fair race.  I need to define all variables.  I then need to graph the system to prove they have an equal chance of winning and explain how the graph proves the race is fair.\r<BR>\n" );
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document.write( "I chose an elephant at 25 mph and a lion at 50 mph.  \r<BR>\n" );
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document.write( "I know I need to use Y = mx + b\r<BR>\n" );
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document.write( "I am just really confused on what to put where in order to get the answer and how to graph the results.  I can see that the elephant needs twice the amount of time as the lion.  In order to go 200 miles, the lion would take 4 hours and the elephant 8 hours.  The elephant would need to start 4 hours ahead of the lion in order to finish at the same time.  \r<BR>\n" );
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document.write( "What are the steps I need to take to show that on paper?  I am so confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724325 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would make it a shorter race, because I do not think a lion can run at 50 mph for 4 hours.<BR>\n" );
document.write( "I imagine a straight race track, maybe 5 miles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time in hours from the start of the race.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the position of each animal (in miles from the 0 mile marker).<BR>\n" );
document.write( "The lion starts at the 0 mile marker,<BR>\n" );
document.write( "so its position will be given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=50x ALIGN=MIDDLE  ALT=\"y=50x\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=x%3C=6 ALIGN=MIDDLE  ALT=\"0%3C=x%3C=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The elephant will start the race at the 0.5 mile marker,<BR>\n" );
document.write( "so its position will be given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=25x%2B2.5 ALIGN=MIDDLE  ALT=\"y=25x%2B2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=x%3C=0.1 ALIGN=MIDDLE  ALT=\"0%3C=x%3C=0.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-0.01%2C0.12%2C-0.5%2C5.8%2C%0D%0Agrid%280%29%2Clocate%280.095%2C-0.1%2C0.1%29%2C%0D%0Aline%280.01%2C-0.1%2C0.01%2C0.1%29%2Cline%280.02%2C-0.1%2C0.02%2C0.1%29%2Cline%280.03%2C-0.1%2C0.03%2C0.1%29%2C%0D%0Aline%280.04%2C-0.1%2C0.04%2C0.1%29%2Cline%280.05%2C-0.1%2C0.05%2C0.1%29%2Cline%280.06%2C-0.1%2C0.06%2C0.1%29%2C%0D%0Aline%280.07%2C-0.1%2C0.07%2C0.1%29%2Cline%280.08%2C-0.1%2C0.08%2C0.1%29%2Cline%280.09%2C-0.1%2C0.09%2C0.1%29%2C%0D%0Aline%280.1%2C-0.1%2C0.1%2C0.1%29%2Cline%280.11%2C-0.1%2C0.11%2C0.1%29%2Clocate%280.042%2C-0.1%2C0.05%29%2C%0D%0Ared%28line%280%2C0%2C0.1%2C5%29%29%2Cline%280%2C2.5%2C0.1%2C5%29%2Clocate%280.05%2C2.5%2Cred%28y=50x%29%29%2C%0D%0Alocate%280.02%2C4.2%2Cy=25x%2B2.5%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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