document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693720>Question 693720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> David has been working for his company since 1990. Each year he gets a $2100 raise, in 1998 he earned one and a half times as much as he earned in 1990.<BR>\n" );
document.write( "Write an equation in the form of y=mx+b that models David's salary y in terms of number of years x since he started working there.  What was his salary in 1998? How much will he earn in 2005? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427512 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=427512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> David has been working for his company since 1990. Each year he gets a $2100 raise, in 1998 he earned one and a half times as much as he earned in 1990.<BR>\n" );
document.write( "Write an equation in the form of y=mx+b that models David's salary y in terms of number of years x since he started working there. What was his salary in 1998? How much will he earn in 2005?<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Let his salary in 1990 be \"y\" ; Then his slary in 1998 is (3/2)y.<BR>\n" );
document.write( "Form: y = mx + b<BR>\n" );
document.write( "m = 2100 because slope is the change in y when x increases by 1.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Using (0,y)<BR>\n" );
document.write( "y = 2100x + b<BR>\n" );
document.write( "y = b (the 1st years salary)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Using (8,(3/2)b)<BR>\n" );
document.write( "(3/2)b = 2100(8) + b<BR>\n" );
document.write( "(1/2)b = 2100*8<BR>\n" );
document.write( "b = 2100*16<BR>\n" );
document.write( "$33,600 (1st year salary)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = 2100x + 33,600<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Salary in 1998:<BR>\n" );
document.write( "f(8) = 2100*8 + 33,600 = $50,400<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Salary in 2005<BR>\n" );
document.write( "f(5) = 2100*5 + 33,600 = $44,100<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );