document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955017>Question 955017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A horse runs along the road. Its distance from the lamp post P on the side of the road is measured at different times, t, and has the form d(t)=at^2+bt+5<BR>\n" );
document.write( "The distances are recorded in the table below:\r<BR>\n" );
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document.write( "Time(in seconds) 1  2  3 4  5 6<BR>\n" );
document.write( "Distance(meters) 10 17 g 37 h 65\r<BR>\n" );
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document.write( "So 1 corresponds with 10 and 2 with 17 and so forth.\r<BR>\n" );
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document.write( "Determine the values of a and b, for d(t)=at^2+bt+5\r<BR>\n" );
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document.write( "(1) a=1 and b=4<BR>\n" );
document.write( "(2) a=19/3 (6.33333..) and b=-4/3 (-1.33333..)<BR>\n" );
document.write( "(3) a=-9 and b=24<BR>\n" );
document.write( "(4) a=6 and b=-1<BR>\n" );
document.write( "(5) or none of the above </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583361 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1,10)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10=a%281%29%5E2%2Bb%281%29%2B5 ALIGN=MIDDLE  ALT=\"10=a%281%29%5E2%2Bb%281%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=5 ALIGN=MIDDLE  ALT=\"a%2Bb=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2,17)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17=a%282%29%5E2%2Bb%282%29%2B5 ALIGN=MIDDLE  ALT=\"17=a%282%29%5E2%2Bb%282%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2B2b=12 ALIGN=MIDDLE  ALT=\"4a%2B2b=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2Bb=6 ALIGN=MIDDLE  ALT=\"2a%2Bb=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract eq. 1 from eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2Bb-a-b=6-5 ALIGN=MIDDLE  ALT=\"2a%2Bb-a-b=6-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then from eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bb=5 ALIGN=MIDDLE  ALT=\"1%2Bb=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4 ALIGN=MIDDLE  ALT=\"b=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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