document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160320>Question 1160320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a bicycle, Kristen rides for 2 hours and is 18 miles from her house. After riding for 12 hours, she is 98 miles away.\r<BR>\n" );
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document.write( "Write an equation to model this situation (use m for miles and h for hours). </SPAN>\n" );
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document.write( "In the additional 12-2 = 10 hours, the additional distance she rides is 98-18 = 80 miles.  So her speed is 80/10 = 8mph.<br><BR>\n" );
document.write( "The linear equation for the distance from her house is y = ax+b -- or, using m for miles and h for hours, m = ah+b.<br><BR>\n" );
document.write( "In that equation, a is the slope (her speed) and b is the y-intercept, which in this problem is her distance from her house when she starts riding.<br><BR>\n" );
document.write( "We have determined that her speed a is 8; to determine b we use either given data point.<br><BR>\n" );
document.write( "At 2 hours, she was 18 miles from her house:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+=+2%288%29%2Bb ALIGN=MIDDLE  ALT=\"18+=+2%288%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2 ALIGN=MIDDLE  ALT=\"b+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "She started her ride 2 miles from her house.<br><BR>\n" );
document.write( "The linear equation for her distance from her house is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+8h%2B2 ALIGN=MIDDLE  ALT=\"m+=+8h%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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