document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1067033>Question 1067033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cardboard poster containing 32in^2 of printed region is to have a margin of 2in at the top and bottom and 4/3in at the sides. Create a non-linear function. Represent it in equation and table form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #682227 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=682227\">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=+h+ ALIGN=MIDDLE  ALT=\"+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = height  of the printed area<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+ ALIGN=MIDDLE  ALT=\"+w+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = width of the printed area<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the total area of the poster<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2Aw+=+32+ ALIGN=MIDDLE  ALT=\"+h%2Aw+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in2<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28+h+%2B+4+%29%2A%28+w+%2B+8%2F3+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28+h+%2B+4+%29%2A%28+w+%2B+8%2F3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice I added twice the margins to height and width<BR>\n" );
document.write( "--------------------------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+h%2Aw+%2B+4w+%2B+%288%2F3%29%2Ah+%2B+32%2F3+ ALIGN=MIDDLE  ALT=\"+A+=+h%2Aw+%2B+4w+%2B+%288%2F3%29%2Ah+%2B+32%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+32%2Fw+ ALIGN=MIDDLE  ALT=\"+h+=+32%2Fw+\"   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=+A+=+32+%2B+4w+%2B+%288%2F3%29%2A%2832%2Fw%29+%2B+32%2F3+ ALIGN=MIDDLE  ALT=\"+A+=+32+%2B+4w+%2B+%288%2F3%29%2A%2832%2Fw%29+%2B+32%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+4w+%2B+256%2F%283w%29+%2B+32+%2B+32%2F3+ ALIGN=MIDDLE  ALT=\"+A+=+4w+%2B+256%2F%283w%29+%2B+32+%2B+32%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Here's a plot of this function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+40%2C+-10%2C+150%2C+4x+%2B+%28+256%2F3%29%2Fx+%2B+32+%2B+32%2F3+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It looks like for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+=+5+ ALIGN=MIDDLE  ALT=\"+w+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I get an area of about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+80+ ALIGN=MIDDLE  ALT=\"+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%2Aw+=+32+ ALIGN=MIDDLE  ALT=\"+h%2Aw+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5h+=+32+ ALIGN=MIDDLE  ALT=\"+5h+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+32%2F5+ ALIGN=MIDDLE  ALT=\"+h+=+32%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28+h+%2B+4+%29%2A%28+w+%2B+8%2F3+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28+h+%2B+4+%29%2A%28+w+%2B+8%2F3+%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=+A+=+%28+32%2F5+%2B+4+%29%2A%28+5+%2B+8%2F3+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28+32%2F5+%2B+4+%29%2A%28+5+%2B+8%2F3+%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=+A+=+%28+52%2F5+%29%2A%28+23%2F3+%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28+52%2F5+%29%2A%28+23%2F3+%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=+A+=+1196%2F15+ ALIGN=MIDDLE  ALT=\"+A+=+1196%2F15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "() <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+79.73+ ALIGN=MIDDLE  ALT=\"+A+=+79.73+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pretty close<BR>\n" );
document.write( "Hope this helps -you can make a table<BR>\n" );
document.write( "You could also make Area a function of height<BR>\n" );
document.write( "instead of width if you wanted to. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );