document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45080>Question 45080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help to show the work. This is hard.\r<BR>\n" );
document.write( "\n" );
document.write( "11.	The total sales, S (in billions of dollars), for electronics and appliance stores in the United States for the years 1997 to 2004 are listed in the table below.  Find a linear model that represents the data.  (Hint: Please use the average of the slope of the first two points and the last two points).  Let t represent the year, with t = 0 corresponding to 1997.\r<BR>\n" );
document.write( "\n" );
document.write( "Year	Sales<BR>\n" );
document.write( "1997	64.9<BR>\n" );
document.write( "1998	68.5<BR>\n" );
document.write( "1999	70.2<BR>\n" );
document.write( "2000	76.0<BR>\n" );
document.write( "2001	81.9<BR>\n" );
document.write( "2002	86.4<BR>\n" );
document.write( "2003	85.2<BR>\n" );
document.write( "2004	90.1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29915 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=29915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a linear model that represents the data. (Hint: Please use the average of the slope of the first two points and the last two points). Let t represent the year, with t = 0 corresponding to 1997. <BR>\n" );
document.write( "Year Sales<BR>\n" );
document.write( "1997 64.9<BR>\n" );
document.write( "1998 68.5<BR>\n" );
document.write( "1999 70.2<BR>\n" );
document.write( "2000 76.0<BR>\n" );
document.write( "2001 81.9<BR>\n" );
document.write( "2002 86.4<BR>\n" );
document.write( "2003 85.2<BR>\n" );
document.write( "2004 90.1\r<BR>\n" );
document.write( "\n" );
document.write( "Points: (1997,64.9) and (2004,90.1)<BR>\n" );
document.write( "slope = (90.1-64.9)/(7)= 25.2/7=18/5\r<BR>\n" );
document.write( "\n" );
document.write( "#=mt+b<BR>\n" );
document.write( "90.1=(18/5)(2004)+b<BR>\n" );
document.write( "b=90.1-7214.4=-7124.3\r<BR>\n" );
document.write( "\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "#=(3.6)t-7124.3\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );