document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344475>Question 344475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: Last year the promoter of an outdoor music festival charged patrons $45 and had a total attendance of 12 500 people. This year the promoter charged $50 and had a total attendance of 10 900 people.<BR>\n" );
document.write( "(a) Assuming there is a linear relationship between the number N of people attending and the price P of the ticket, find the linear equation relating N and P.<BR>\n" );
document.write( "(b) If the promoter were to price the tickets at $35 next year, how many people would be expected to attend? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246432 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Last year the promoter of an outdoor music festival charged patrons $45 and had a total attendance of 12 500 people. This year the promoter charged $50 and had a total attendance of 10 900 people.<BR>\n" );
document.write( "(a) Assuming there is a linear relationship between the number N of people attending and the price P of the ticket, find the linear equation relating N and P.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "You have two points that relate attendance to price:<BR>\n" );
document.write( "(45,12,500) and (50,10,900)<BR>\n" );
document.write( "slope = (10900-12500)/(50-45) = -1600/5 = -320<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Form: N = mp + b<BR>\n" );
document.write( "10,900 = -320*50 + b<BR>\n" );
document.write( "b = 10,900+16000 <BR>\n" );
document.write( "b = 26,900<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "N(p) = -320p + 26,900<BR>\n" );
document.write( "=========================\r<BR>\n" );
document.write( "\n" );
document.write( "(b) If the promoter were to price the tickets at $35 next year, how many people would be expected to attend?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "N(35) = -320*35+26,900<BR>\n" );
document.write( "N(35) = 15,700<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );