document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146076>Question 146076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The % of workers receiving direct deposit of their paychecks went from 32% in 1994 to 60% in 2004.  Let 1994 be year 0 and 2004 be year 10.\r<BR>\n" );
document.write( "\n" );
document.write( "Write equation of the line through (0,32) and (10,60) to model the growth of direct deposit<BR>\n" );
document.write( "Use equation to predict the year in which 100% of all workers will receive direct deposit <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 #106633 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=106633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (0,32) (10,60)<BR>\n" );
document.write( "first we find the slope (y2-y1)/(x2-x1)<BR>\n" );
document.write( "(60-32)/(10-0)<BR>\n" );
document.write( "28/10=2.8 is the slope.<BR>\n" );
document.write( "now replace one set of (x,y) values in the line equation (Y=mX+b) & solve for b.<BR>\n" );
document.write( "32=2.8*0+b<BR>\n" );
document.write( "b=32 for the y intercept.<BR>\n" );
document.write( "tghus the line equation is:<BR>\n" );
document.write( "y=2.8x+32<BR>\n" );
document.write( "100=2.8x+32<BR>\n" );
document.write( "2.8x=100-32<BR>\n" );
document.write( "2.8x=68<BR>\n" );
document.write( "x=68/2.8<BR>\n" );
document.write( "x=24.2857 or 1994+24.2857=2018 Is the year when 100% are projected to be direct depositing. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );