document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390123>Question 390123</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets to a school dance cost $5.00, and the projected attendance is 300 people. For every $0.50 increase in the ticket price, the dance committee projects that attendance will decrease by 20. What ticket price will generate $1562.50 in revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276850 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=276850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tickets to a school dance cost $5.00, and the projected attendance is 300 people. For every $0.50 increase in the ticket price, the dance committee projects that attendance will decrease by 20. What ticket price will generate $1562.50 in revenue?<BR>\n" );
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document.write( "Let x = no. of .50 increases<BR>\n" );
document.write( "Let x = no. of 20 people decreases<BR>\n" );
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document.write( "(5 + .5x)(300 - 20x) = 1562.50<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "1500 - 100x + 150x - 10x^2 = 1562.5<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "-10x^2 + 50x + 1500 - 1562.5 = 0<BR>\n" );
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document.write( "-10x^2 + 50x - 62.5 = 0<BR>\n" );
document.write( "Solve this using the quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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( "a=-10; b=50; c=-62.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-50+%2B-+sqrt%28+50%5E2-4%2A-10%2A-62.5+%29%29%2F%282%2A-10%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-50+%2B-+sqrt%28+50%5E2-4%2A-10%2A-62.5+%29%29%2F%282%2A-10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-50+%2B-+sqrt%282500+-+2500+%29%29%2F%28-20%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-50+%2B-+sqrt%282500+-+2500+%29%29%2F%28-20%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-50%29%2F%28-20%29 ALIGN=MIDDLE  ALT=\"%28-50%29%2F%28-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 2.5<BR>\n" );
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document.write( "Ticket price: 2.5(.5) + 5.00 = $6.25<BR>\n" );
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document.write( "No. of ticket: 300 - 2.5(20) = 250 people<BR>\n" );
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document.write( "Revenue: $6.25 * 250 = $1562.5<BR>\n" );
document.write( " </SPAN>\n" );
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