document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106386>Question 1106386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An apartment renter must pay an initial $250 security deposit, and a monthly rent of $500.  Write and graph an equation that gives the renter's average rent per month as a function of the number of months rented.  After how many months will the average rent be $550? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721549 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=721549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you put down 250 security deposit.<BR>\n" );
document.write( "the monthly rent is 500.\r<BR>\n" );
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document.write( "your total cost per month is the up front plus the monthly rent.\r<BR>\n" );
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document.write( "the formula would be y * x = 250 + 500 * x\r<BR>\n" );
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document.write( "y represents the average cost per month.<BR>\n" );
document.write( "x represents the number of months.\r<BR>\n" );
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document.write( "to find out when the average cost per month will be 550, set y = 550 and solve for x.\r<BR>\n" );
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document.write( "you start with 550 * x = 250 + 500 * x\r<BR>\n" );
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document.write( "subtract 500 * x from both sides of the equation to get 50 * x = 250\r<BR>\n" );
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document.write( "divide both sides of the equation by 50 to get x = 5.\r<BR>\n" );
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document.write( "the average cost should be 550 per month in 5 months.\r<BR>\n" );
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document.write( "when x is equal to 5, the average cost per month equation becomes 5 * y = 250 + 5 * 500.\r<BR>\n" );
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document.write( "simplify this to get 5 * y = 2750.\r<BR>\n" );
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document.write( "divide that by 5 to get y = 550.\r<BR>\n" );
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document.write( "looks like the value of x is good.\r<BR>\n" );
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document.write( "you can graph the equation of y * x = 250 + 500 * x.\r<BR>\n" );
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document.write( "solve for y to get y = (250 + 500 * x) / x.\r<BR>\n" );
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document.write( "graph that equation and see what the value of x is when the value of y is 550.\r<BR>\n" );
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document.write( "the graph looks like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/011501.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( "as you can see from the graph, the value of y is 550 when the value of x is 5.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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