document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152409>Question 1152409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The owners of a movies theater know that the number of people who attend is a function of the price of the ticket. The teacher has a capacity of 240 people. If tickets are sold for $1 the theater will be fulled and if the theater charges 21 it will be empty </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774431 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when the price of the ticket is 1 dollar, then 240 tickets are sold.<BR>\n" );
document.write( "then the price of the ticket is 21 dollars, then 0 tickets are sold.<BR>\n" );
document.write( "the slope intercept form of the equation of a straight line is\"<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "m is he slope.<BR>\n" );
document.write( "b is the y-intercept<BR>\n" );
document.write( "if you let x = the price of the ticket and y represent the number of tickets sold, then you have two point from which to create you equation.<BR>\n" );
document.write( "they will be (x,y) = (1,240) and (21,0)<BR>\n" );
document.write( "what these points tell you is that when x = 1, y = 240, and when x = 21, y = 0.<BR>\n" );
document.write( "if you call these points (x1,y1) = (1,240) and (x2,y2) = 21,0), than you can fit these points into the slope equation, which is:<BR>\n" );
document.write( "slope = (y2 - y1) / (x2 - x1)<BR>\n" );
document.write( "that becomes (0 - 240) / (21 - 1) = -240 / 20 = -12<BR>\n" );
document.write( "your slope is -12.<BR>\n" );
document.write( "the equation of y = mx + b becomes:<BR>\n" );
document.write( "y = -12 * x + b<BR>\n" );
document.write( "to solve for b, replace x and y with the values of either one of the points.<BR>\n" );
document.write( "i used (1,240)<BR>\n" );
document.write( "the equation becomes 240 = -12 * 1 + b<BR>\n" );
document.write( "simplify to get 240 = -12 + b<BR>\n" );
document.write( "solve for b to get b = 252<BR>\n" );
document.write( "the equation becomes y = -12 * x + 252\r<BR>\n" );
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document.write( "the equation can be graphed as shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/021302.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "in the graph, x represents the price of the ticket and y represents the number of tickets sold.\r<BR>\n" );
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document.write( "when x = 1, y = 240<BR>\n" );
document.write( "when x = 21, y = 0<BR>\n" );
document.write( "when the price of the ticket is 1 dollar, 240 tickets are sold.<BR>\n" );
document.write( "when the price of the ticket is 21 dollars, 0 tickets are sold.<BR>\n" );
document.write( " </SPAN>\n" );
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