document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125527>Question 1125527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amy is driving her car to a conference . The expression d = 65t + 100 represents her total distance from home in miles, and t is the number of hours since 8:00 AM.\r<BR>\n" );
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document.write( "How many miles will Amy be at 12:00 noon?\r<BR>\n" );
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document.write( "What does d-intercept represent in this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741859 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation is 65 * t + 100\r<BR>\n" );
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document.write( "t is the number of hours since 8:00 am.<BR>\n" );
document.write( "d is her distance from home.\r<BR>\n" );
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document.write( "at 12:00 noon, she has been on the road for 4 hours (12 - 8 = 4).\r<BR>\n" );
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document.write( "d = 65 * t + 100 becomes d = 65 * 4 + 100 which becomes d = 260 + 100 which results in d = 360 miles from home.\r<BR>\n" );
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document.write( "the d-intercept would be the value of d when t = 0.\r<BR>\n" );
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document.write( "when t = 0, the equation becomes d = 65 * 0 + 100 which results in d = 100.\r<BR>\n" );
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document.write( "in context of this problem, i believe this means she was already 100 miles from home when she started at 8:00 am.\r<BR>\n" );
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document.write( "this might be easier to see if you let y = d and you let x = t.\r<BR>\n" );
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document.write( "the equation then becomes y = 65 * x + 100.\r<BR>\n" );
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document.write( "the d-intercept now becomes the y-intercept, which is the value of y when x = 0.\r<BR>\n" );
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document.write( "you can graph the equation of d = 65t + 100 by replacing d with y and t with x.\r<BR>\n" );
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document.write( "the graph looks like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/100805.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the blue line is the graph of the equation.\r<BR>\n" );
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document.write( "the orange lines are there to show the intersection points of the equation when x = 0 and x = 4.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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