document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427050>Question 427050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Company A sold 14.7 million dollars of electronics equipment in 2000 and its sales have increased by 2.1 million dollars each year. Company B sold 19.4 million dollars of electric equipment in 2000 and its sales have increased by 1.7 million each year.\r<BR>\n" );
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document.write( "1)	Let A (t) and B (t) repesent the sales (in millions of dollars) by company A and compnay B, respectively, at t years since 2000. Find equations for A and B.<BR>\n" );
document.write( "2)	Predict when sales at the companies will be equal. What will that sales be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297004 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" > = sales for the year<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the year<BR>\n" );
document.write( "Plot Sales on the vertical axis and the year on the horizontal<BR>\n" );
document.write( "You are given a point (2000,14.7) for company A.<BR>\n" );
document.write( "I'll call it (0,14.7)<BR>\n" );
document.write( "The rate of increase, or slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.1+ ALIGN=MIDDLE  ALT=\"+2.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > millions/year<BR>\n" );
document.write( "To get the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+S+-+14.7%29+%2F+%28+t+-+0+%29+=+2.1+ ALIGN=MIDDLE  ALT=\"+%28+S+-+14.7%29+%2F+%28+t+-+0+%29+=+2.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (in millions)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+-+14.7+=+2.1t+ ALIGN=MIDDLE  ALT=\"+S+-+14.7+=+2.1t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+=+2.1t+%2B+14.7+ ALIGN=MIDDLE  ALT=\"+S+=+2.1t+%2B+14.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "For company B, the point is (0,19.4),<BR>\n" );
document.write( " and the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.7+ ALIGN=MIDDLE  ALT=\"+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > millions/year<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28S+-+19.4%29+%2F+%28t+-+0%29+=+1.7+ ALIGN=MIDDLE  ALT=\"+%28S+-+19.4%29+%2F+%28t+-+0%29+=+1.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+-+19.4+=+1.7t+ ALIGN=MIDDLE  ALT=\"+S+-+19.4+=+1.7t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+=+1.7t+%2B+19.4+ ALIGN=MIDDLE  ALT=\"+S+=+1.7t+%2B+19.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "To find where the lines intersect (equal amount of sales),<BR>\n" );
document.write( "Subtract B's equation from A's<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+S+=+2.1t+%2B+14.7+ ALIGN=MIDDLE  ALT=\"+S+=+2.1t+%2B+14.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-S+=+-1.7t+-+19.4+ ALIGN=MIDDLE  ALT=\"+-S+=+-1.7t+-+19.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+.4t+-+4.7+ ALIGN=MIDDLE  ALT=\"+0+=+.4t+-+4.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.4t+=+4.7+ ALIGN=MIDDLE  ALT=\"+.4t+=+4.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=+11.75+ ALIGN=MIDDLE  ALT=\"+t=+11.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the data is year-end data, then this figure means<BR>\n" );
document.write( "9 months into 2012, or September 2012<BR>\n" );
document.write( "Hope I got it right\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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