document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123071>Question 1123071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mary has a hamburger stand in town. She says there is a linear relationship between the price (p) of hamburgers and the number sold (x) i.e. &#119961;=&#119938;&#119953;+&#119939;. At N$10 she sells 1360 hamburgers per month, but only 510 when she doubles the price.<BR>\n" );
document.write( "(a) Find a and b<BR>\n" );
document.write( "(b) How many hamburgers will be sold at N$16?<BR>\n" );
document.write( "(c) What price will ensure sales of 1020 hamburgers?<BR>\n" );
document.write( "(d) What is the maximum possible price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739298 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=739298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+a%2Ap+%2B+b+ ALIGN=MIDDLE  ALT=\"+x+=+a%2Ap+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You are given 2 points on a straight line, ( p,x )<BR>\n" );
document.write( "This is the order because x depends on p<BR>\n" );
document.write( "( 10, 1360 )<BR>\n" );
document.write( "( 20, 510 )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1360+=+a%2A10+%2B+b+ ALIGN=MIDDLE  ALT=\"+1360+=+a%2A10+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10a+%2B+b+=+1360+ ALIGN=MIDDLE  ALT=\"+10a+%2B+b+=+1360+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+510+=+a%2A20+%2B+b+ ALIGN=MIDDLE  ALT=\"+510+=+a%2A20+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20a+%2B+b+=+510+ ALIGN=MIDDLE  ALT=\"+20a+%2B+b+=+510+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "————————————<BR>\n" );
document.write( "By subtraction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10a+=+-+850+ ALIGN=MIDDLE  ALT=\"+10a+=+-+850+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-85+ ALIGN=MIDDLE  ALT=\"+a+=+-85+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10%2A%28-85%29+%2B+b+=+1360+ ALIGN=MIDDLE  ALT=\"+10%2A%28-85%29+%2B+b+=+1360+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+2210+ ALIGN=MIDDLE  ALT=\"+b+=+2210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-85p+%2B+2210+ ALIGN=MIDDLE  ALT=\"+x+=+-85p+%2B+2210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "———————————-<BR>\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+16+ ALIGN=MIDDLE  ALT=\"+p+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-85%2A16+%2B+2210+ ALIGN=MIDDLE  ALT=\"+x+=+-85%2A16+%2B+2210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2210+-+1360+ ALIGN=MIDDLE  ALT=\"+x+=+2210+-+1360+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+850+ ALIGN=MIDDLE  ALT=\"+x+=+850+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be sold<BR>\n" );
document.write( "—————————————-<BR>\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1020+ ALIGN=MIDDLE  ALT=\"+x+=+1020+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1020+=+-85%2Ap+%2B+2210+ ALIGN=MIDDLE  ALT=\"+1020+=+-85%2Ap+%2B+2210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+85p+=+1190+ ALIGN=MIDDLE  ALT=\"+85p+=+1190+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+14+ ALIGN=MIDDLE  ALT=\"+p+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "N$14<BR>\n" );
document.write( "—————————————-<BR>\n" );
document.write( "The max price will result in 0 sold, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+-85p+%2B+2210+ ALIGN=MIDDLE  ALT=\"+0+=+-85p+%2B+2210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+26+ ALIGN=MIDDLE  ALT=\"+p+=+26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "N$26 is maximum price\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );