document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164573>Question 1164573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the year 2009,the average annual cost to employees for employer family health coverage was approximately ​$3500.In 2014,that amount was approximately ​$4500.<BR>\n" );
document.write( "​(a) Write a linear equation expressing the average annual cost to employees y in terms of the number of years x after 2000.<BR>\n" );
document.write( "​(b) What was the average annual cost in​ 2014?<BR>\n" );
document.write( "​(c) If the trend​ continues, what will be the first full year in which costs exceed ​$7000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788991 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2009=9 and 2014=14<BR>\n" );
document.write( "we have ordered pairs (9, 3500) and (14, 4500)<BR>\n" );
document.write( "that slope is 1000/5 or 200<BR>\n" );
document.write( "point slope formula is y-y1=m(x-x1), m slope (x1, y1) point<BR>\n" );
document.write( "y-3500=200(x-9)<BR>\n" );
document.write( "y=200x-1800<BR>\n" );
document.write( "y=200x+1700<BR>\n" );
document.write( "in 2014, the cost was 200(14)+1700 or $4500, which we knew<BR>\n" );
document.write( "7000=200x+1700<BR>\n" );
document.write( "200x=5300<BR>\n" );
document.write( "x=26.5<BR>\n" );
document.write( "That means in 2026, the cost is $6900 and in 2027 it is $7100, so 2027. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );