document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254340>Question 254340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am attempting to check my sons answers so I am sorry if these seen easy - they are not to me!  Here is the question<BR>\n" );
document.write( "Tell whether the data shown is direct variation. If so, give the constant of variation and write the equation'<BR>\n" );
document.write( "Time ( hours)    4        5        6        7<BR>\n" );
document.write( "Distance(miles) 184   460   828   1288 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186688 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, we can create a table based on the information as<BR>\n" );
document.write( "Time ( hours=x) . . . 4 . . . . . . . .  5 . . .. . . . ..  6 . . . .. . . . .  7<BR>\n" );
document.write( "Distance(miles=y) 184  . . . .. . . .460 . . . . . . 828 . . .. . . . . 1288<BR>\n" );
document.write( "We are looking for a way to get a direct variation model. We need a thing called slope. The equation for that is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m+=+%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We take our first two point and find the slope as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28460-184%29%2F%285-4%29 ALIGN=MIDDLE  ALT=\"m+=+%28460-184%29%2F%285-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => m = 276<BR>\n" );
document.write( "We take the second pair and do the same thing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28828-460%29%2F%286-5%29 ALIGN=MIDDLE  ALT=\"m+=+%28828-460%29%2F%286-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => m = 368<BR>\n" );
document.write( "We take the third pair and do the same thing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%281288-828%29%2F%287-6%29 ALIGN=MIDDLE  ALT=\"m+=+%281288-828%29%2F%287-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => m = 460.<BR>\n" );
document.write( "SInce these numbers are not ALL the same, this is not direct variation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );