document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637539>Question 637539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help on this problem would be greatly appreciated!<BR>\n" );
document.write( "A village wants to build a community center that is projected to cost 1.2 million dollars. Cost per resident is increased by $3 as it is discovered that there are 225 fewer residents than when planning began 2 years ago. What is the revised cost per resident? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401750 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=401750\">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=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the original number of residents<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the original cost/resident<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+d%2An+ ALIGN=MIDDLE  ALT=\"+1200000+=+d%2An+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+%28+d+%2B+3+%29%2A%28+n+-225+%29+ ALIGN=MIDDLE  ALT=\"+1200000+=+%28+d+%2B+3+%29%2A%28+n+-225+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+d%2An+%2B+3n+-+225d+%2B+675+ ALIGN=MIDDLE  ALT=\"+1200000+=+d%2An+%2B+3n+-+225d+%2B+675+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+1200000+%2B+3n+-+225c+%2B+675+ ALIGN=MIDDLE  ALT=\"+1200000+=+1200000+%2B+3n+-+225c+%2B+675+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3n+=+225d+-+675+ ALIGN=MIDDLE  ALT=\"+3n+=+225d+-+675+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+75d+-+225+ ALIGN=MIDDLE  ALT=\"+n+=+75d+-+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this back into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+d%2A%28+75c+-225+%29++ ALIGN=MIDDLE  ALT=\"+1200000+=+d%2A%28+75c+-225+%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75d%5E2+-+225d+-1200000+ ALIGN=MIDDLE  ALT=\"+75d%5E2+-+225d+-1200000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5E2+-+3d+-+16000+ ALIGN=MIDDLE  ALT=\"+d%5E2+-+3d+-+16000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+d+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-3+ ALIGN=MIDDLE  ALT=\"+b+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-16000+ ALIGN=MIDDLE  ALT=\"+c+=+-16000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A1%2A%28-16000%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+d+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A1%2A%28-16000%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+3+%2B-+sqrt%28+9+%2B+64000+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+d+=+%28+3+%2B-+sqrt%28+9+%2B+64000+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+3+%2B-+sqrt%28++64009+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+d+=+%28+3+%2B-+sqrt%28++64009+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+%28+3+%2B+253%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+d+=+%28+3+%2B+253%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+256%2F2+ ALIGN=MIDDLE  ALT=\"+d+=+256%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+128+ ALIGN=MIDDLE  ALT=\"+d+=+128+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+%2B+3+=+131+ ALIGN=MIDDLE  ALT=\"+d+%2B+3+=+131+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The revised cost/resident is $131<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+d%2An+ ALIGN=MIDDLE  ALT=\"+1200000+=+d%2An+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+1200000+%2F+128+ ALIGN=MIDDLE  ALT=\"+n+=+1200000+%2F+128+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+9375+ ALIGN=MIDDLE  ALT=\"+n+=+9375+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+%28+128+%2B+3+%29%2A%28+9375+-225+%29+ ALIGN=MIDDLE  ALT=\"+1200000+=+%28+128+%2B+3+%29%2A%28+9375+-225+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+131%2A9150+ ALIGN=MIDDLE  ALT=\"+1200000+=+131%2A9150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "{2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1200000+=+1198650+ ALIGN=MIDDLE  ALT=\"+1200000+=+1198650+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "This is close but a little off. Can you see where I<BR>\n" );
document.write( "messed up?  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );