document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018759>Question 1018759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mr santos drives from his home to his office in makati. as he gets nearer to his office, the distance from his office varies linearly on the number of minutes that he has been driving . he noticed that after 8 minutes of driving, he is already 13 kilometers away from his office. upon looking from the second time after 12 minutes, he is already 7 kilometers away \r<BR>\n" );
document.write( "\n" );
document.write( "its about linear functions and their applications<BR>\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634800 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=634800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure what the question is, but I think<BR>\n" );
document.write( "you want to know what the equation for this<BR>\n" );
document.write( "trip is.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the distance in km from his home to his office<BR>\n" );
document.write( "When he first checks the time, his rate ( slope ) is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+d+-+13+%29+%2F+8+ ALIGN=MIDDLE  ALT=\"+%28+d+-+13+%29+%2F+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "When he next checks the time, his rate ( slope ) is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+d+-+7+%29+%2F+12+ ALIGN=MIDDLE  ALT=\"+%28+d+-+7+%29+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Since the rate is linear, these slopes must be equal<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+d+-+13+%29+%2F+8+=+%28+d+-+7+%29+%2F+12+ ALIGN=MIDDLE  ALT=\"+%28+d+-+13+%29+%2F+8+=+%28+d+-+7+%29+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2A12+ ALIGN=MIDDLE  ALT=\"+8%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12%2A%28+d+-+13+%29+=+8%2A%28+d+-+7+%29+ ALIGN=MIDDLE  ALT=\"+12%2A%28+d+-+13+%29+=+8%2A%28+d+-+7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12d+-+156+=+8d+-+56+ ALIGN=MIDDLE  ALT=\"+12d+-+156+=+8d+-+56+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4d+=+100+ ALIGN=MIDDLE  ALT=\"+4d+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+25+ ALIGN=MIDDLE  ALT=\"+d+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The slope is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+d+-+7+%29+%2F+12+ ALIGN=MIDDLE  ALT=\"+%28+d+-+7+%29+%2F+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+25+-+7+%29+%2F+12+=+18%2F12+ ALIGN=MIDDLE  ALT=\"+%28+25+-+7+%29+%2F+12+=+18%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18%2F12+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+18%2F12+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The form of the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+0+ ALIGN=MIDDLE  ALT=\"+b+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > since it starts at ( 0,0 )<BR>\n" );
document.write( "( y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+m%2At+ ALIGN=MIDDLE  ALT=\"+d+=+m%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%283%2F2%29%2At+ ALIGN=MIDDLE  ALT=\"+d+=+%283%2F2%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is km and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in min<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Equation must go through:<BR>\n" );
document.write( "( 8, d-13 ) = ( 8, 25 - 13 ) =<BR>\n" );
document.write( "( 8,12 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%283%2F2%29%2At+ ALIGN=MIDDLE  ALT=\"+d+=+%283%2F2%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%283%2F2%29%2A8+ ALIGN=MIDDLE  ALT=\"+12+=+%283%2F2%29%2A8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+12+ ALIGN=MIDDLE  ALT=\"+12+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Equation must go through:<BR>\n" );
document.write( "( 12, d - 7 ) = ( 12, 25 - 7 ) = <BR>\n" );
document.write( "( 12, 18 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%283%2F2%29%2At+ ALIGN=MIDDLE  ALT=\"+d+=+%283%2F2%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+=+%283%2F2%29%2A12+ ALIGN=MIDDLE  ALT=\"+18+=+%283%2F2%29%2A12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+=+18+ ALIGN=MIDDLE  ALT=\"+18+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );