document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085554>Question 1085554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an assignment and it's about a fair race between two animal and I need to make their out come into a linear equation. First speed 45 mph second is 43mph. Can you please help me  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699747 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You will have 2 equations that have the form:<BR>\n" );
document.write( "[ distance ] = [ rate ] x [ time ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+r%2At+ ALIGN=MIDDLE  ALT=\"+d+=+r%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You are given the rates, which will be the slopes <BR>\n" );
document.write( "of the straight lines. So you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+45t+ ALIGN=MIDDLE  ALT=\"+d+=+45t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+43t+ ALIGN=MIDDLE  ALT=\"+d+=+43t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "The rates have units of  miles/hr, so the<BR>\n" );
document.write( "units of  the 3 parts of the equations are:<BR>\n" );
document.write( "[ distance in miles ] = [ rate in mi/hr ] x [ time in hrs ]<BR>\n" );
document.write( "--------------------------------------------------<BR>\n" );
document.write( "You can choose various values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and determine <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+45+ ALIGN=MIDDLE  ALT=\"+d+=+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+45t+ ALIGN=MIDDLE  ALT=\"+d+=+45t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+45+=+45%2A1+ ALIGN=MIDDLE  ALT=\"+45+=+45%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1+ ALIGN=MIDDLE  ALT=\"+t+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+90+ ALIGN=MIDDLE  ALT=\"+d+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+45t+ ALIGN=MIDDLE  ALT=\"+d+=+45t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+=+45%2A2+ ALIGN=MIDDLE  ALT=\"+90+=+45%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2+ ALIGN=MIDDLE  ALT=\"+t+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "So you have 2 points on the 1st line:<BR>\n" );
document.write( "( 1, 45 ) and<BR>\n" );
document.write( "( 2, 90 )<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Keep going like this for both lines, and<BR>\n" );
document.write( "you can plot them.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "If the animals start a race together at the <BR>\n" );
document.write( "same time, the slow one is always behind.<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "If you give the slow one a headstart, then <BR>\n" );
document.write( "the fast one will catch up after a certain<BR>\n" );
document.write( "time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Here's a plot with the slow one having a headstart of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-1%2C+5%2C+-10%2C+200%2C+43x+%2B+10%2C+45x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-1%2C+5%2C+-10%2C+200%2C+43x+%2B+10%2C+45x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see they have to run many miles for the fast one to catch up.<BR>\n" );
document.write( "Hope this helps<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );