document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250403>Question 250403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me write two equations for this word problem. One equation for members and one for non members. <BR>\n" );
document.write( "To encourage customers a movie theater is offering memberships.  The membership costs $75.00 per year plus $2.00 per movie.  For non-members, the cost of a movie is $5.75.<BR>\n" );
document.write( "Thanks sooo much!  Lisa </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182397 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=182397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in the following equations:\r<BR>\n" );
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document.write( "y = total cost<BR>\n" );
document.write( "m = cost per movie<BR>\n" );
document.write( "x = number of movies per year<BR>\n" );
document.write( "f = fixed cost per year\r<BR>\n" );
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document.write( "general equation is:\r<BR>\n" );
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document.write( "y = m*x + f\r<BR>\n" );
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document.write( "for members:\r<BR>\n" );
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document.write( "m = $2.00 per movie<BR>\n" );
document.write( "f = $75.00 per year\r<BR>\n" );
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document.write( "member equation is:\r<BR>\n" );
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document.write( "y = 2*x + 75\r<BR>\n" );
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document.write( "for non-members:\r<BR>\n" );
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document.write( "m = $5.75\r<BR>\n" );
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document.write( "non-member equation is:\r<BR>\n" );
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document.write( "y = 5.75*x\r<BR>\n" );
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document.write( "break even point is when the 2 equations are equal to each other.\r<BR>\n" );
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document.write( "2*x + 75 = 5.75*x\r<BR>\n" );
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document.write( "subtract 2*x from both sides of the equation to get:\r<BR>\n" );
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document.write( "3.75*x = 75\r<BR>\n" );
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document.write( "x = 75/3.75 = 20\r<BR>\n" );
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document.write( "At 20 movies in a year, they break even.  above 20 movies in a year, the total cost to the member becomes less than the total cost to the non-member.\r<BR>\n" );
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document.write( "member equation is:\r<BR>\n" );
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document.write( "y = 2x + 75<BR>\n" );
document.write( "when x = 20, y = 40+75 = 115\r<BR>\n" );
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document.write( "non-member equation is:\r<BR>\n" );
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document.write( "y = 5.75*x<BR>\n" );
document.write( "when x = 20, y = 20*5.75 = 115\r<BR>\n" );
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document.write( "anything over 20, the member pays less.\r<BR>\n" );
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document.write( "assume x = 30\r<BR>\n" );
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document.write( "member pays 2*30 + 75 = 60 + 75 = 135<BR>\n" );
document.write( "non-member pays 5.75*30 = 172.5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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