document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095208>Question 1095208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 1990, 528,000 people worked in the air transportation industry. In 2006, the number was 484,000. <BR>\n" );
document.write( "a) Find a linear equation giving the number of employees in the air transportation industry in terms of x, the number of years since 1990. <BR>\n" );
document.write( "b) Assuming the equation remains valid in the future, in what year will there be 430,000 employees of the air transportation industry?\r<BR>\n" );
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document.write( "PLEASE INCLUDE VERY DETAILED SOLUTIONS, since I have had trouble with my calculations and need to see what I'm doing wrong.\r<BR>\n" );
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document.write( "Thank you very much,<BR>\n" );
document.write( "computerlove27 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709762 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=709762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plot number of employees, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  on vertical axis<BR>\n" );
document.write( "Plot time, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in years on the horizontal axis<BR>\n" );
document.write( "You are given 2 points on a straight line<BR>\n" );
document.write( "( 0, 528 )<BR>\n" );
document.write( "( 16, 484 )<BR>\n" );
document.write( "The y-axis is thousands of employees<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "Use general point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+484+%29+%2F+%28+x+-+16+%29+=+%28+528+-+484+%29+%2F+%28+0+-+16+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+484+%29+%2F+%28+x+-+16+%29+=+%28+528+-+484+%29+%2F+%28+0+-+16+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+484+%29+%2F+%28+x+-+16+%29+=+44+%2F+%28-16%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+484+%29+%2F+%28+x+-+16+%29+=+44+%2F+%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+484+%29+%2F+%28+x+-+16+%29+=+11%2F%28-4%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+484+%29+%2F+%28+x+-+16+%29+=+11%2F%28-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29%2A%28+x+-+16+%29+ ALIGN=MIDDLE  ALT=\"+%28-4%29%2A%28+x+-+16+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-4%29%2A%28+y+-+484+%29+=+11%2A%28+x+-+16+%29+ ALIGN=MIDDLE  ALT=\"+%28-4%29%2A%28+y+-+484+%29+=+11%2A%28+x+-+16+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4y+%2B+1936+=+11x+-+176+ ALIGN=MIDDLE  ALT=\"+-4y+%2B+1936+=+11x+-+176+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+=+-11x+%2B+2112+ ALIGN=MIDDLE  ALT=\"+4y+=+-11x+%2B+2112+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-11%2F4%29%2Ax+%2B+528+ ALIGN=MIDDLE  ALT=\"+y+=+%28-11%2F4%29%2Ax+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( note that number of employees is in thousands )<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+430+ ALIGN=MIDDLE  ALT=\"+y+=+430+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+430+=+%28-11%2F4%29%2Ax+%2B+528+ ALIGN=MIDDLE  ALT=\"+430+=+%28-11%2F4%29%2Ax+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811%2F4%29%2Ax+=+98+ ALIGN=MIDDLE  ALT=\"+%2811%2F4%29%2Ax+=+98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%284%2F11%29%2A98+ ALIGN=MIDDLE  ALT=\"+x+=+%284%2F11%29%2A98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+35.6364+ ALIGN=MIDDLE  ALT=\"+x+=+35.6364+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1990 + 35 = 2025 <BR>\n" );
document.write( "During 2025, there is 430,000 employees<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "Check the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-11%2F4%29%2Ax+%2B+528+ ALIGN=MIDDLE  ALT=\"+y+=+%28-11%2F4%29%2Ax+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( 16, 484 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+484+=+%28-11%2F4%29%2A16+%2B+528+ ALIGN=MIDDLE  ALT=\"+484+=+%28-11%2F4%29%2A16+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+484+=+-44+%2B+528+ ALIGN=MIDDLE  ALT=\"+484+=+-44+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+484+=+484+ ALIGN=MIDDLE  ALT=\"+484+=+484+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "( 35.6364, 430 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+430+=+%28-11%2F4%29%2A35.6364+%2B+528+ ALIGN=MIDDLE  ALT=\"+430+=+%28-11%2F4%29%2A35.6364+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+430+=+-98.0001+%2B+528+ ALIGN=MIDDLE  ALT=\"+430+=+-98.0001+%2B+528+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+430+=+430+ ALIGN=MIDDLE  ALT=\"+430+=+430+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( very close )\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );