document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158702>Question 158702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me on this problem\r<BR>\n" );
document.write( "\n" );
document.write( "Mang Jose wants to enclose a rectangular lot beside a river with 120 meters of barbed wire.  The side along the river will not need fencing.\r<BR>\n" );
document.write( "\n" );
document.write( "a. Express the lot area in terms of its length.<BR>\n" );
document.write( "b. Construct a table of values and test if the relation is quadratic or not. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117021 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mang Jose wants to enclose a rectangular lot beside a river with 120 meters of barbed wire. The side along the river will not need fencing.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. Express the lot area in terms of its length.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the length of the rectangular area;<BR>\n" );
document.write( "Let w = the width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "120 meters of fence will be used to enclose 3 sides. (only one length required)<BR>\n" );
document.write( "x + 2w = 120<BR>\n" );
document.write( "2w = (120-x)<BR>\n" );
document.write( "Divide equation by 2<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28120-x%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28120-x%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = (60-.5x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area = x * w<BR>\n" );
document.write( "Substitute (60-.5x) for w<BR>\n" );
document.write( "A = x(60-.5x)<BR>\n" );
document.write( "A = 60x - .5x^2; (area in terms of the length)<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. Construct a table of values and test if the relation is quadratic or not.<BR>\n" );
document.write( "Choose some convenient values (y = area)<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "10 |550; 600 - .5(10^2)<BR>\n" );
document.write( "20 |1000<BR>\n" );
document.write( "60 |1800<BR>\n" );
document.write( "100|1000; note it reached a max, and decreased, it's a quadratic (and it has an x^2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );