document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344380>Question 344380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this word problem?   A local gym charges nonmembers $10 per hour to use the tennis courts.Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how many hours, h, you must use the tennis courts to justify becoming a member.Thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246345 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=246345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> non-member are charged $10 an hour to use the tennis courts.<BR>\n" );
document.write( "Members are charged $300 per year plus $4 per hour.\r<BR>\n" );
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document.write( "If you let x be the number of hours you use the gym in a year, then:\r<BR>\n" );
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document.write( "You will pay x * 10 if you are a non-member.\r<BR>\n" );
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document.write( "You will pay 300 + 4 * x if you are a member.\r<BR>\n" );
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document.write( "You want to know when the membership fee plus the membership cost per hour becomes less than the non-membership cost per hour.\r<BR>\n" );
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document.write( "Your formula would be:\r<BR>\n" );
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document.write( "300 + 4 * x < 10 * x\r<BR>\n" );
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document.write( "Subtract 4 * x from both sides of this equation to get:\r<BR>\n" );
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document.write( "300 < 10 * x - 4 * x\r<BR>\n" );
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document.write( "Combine like terms to get:\r<BR>\n" );
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document.write( "300 < 6 * x\r<BR>\n" );
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document.write( "Divide both sides of this equation by 6 to get:\r<BR>\n" );
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document.write( "300 / 6 < x\r<BR>\n" );
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document.write( "Simplify to get:\r<BR>\n" );
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document.write( "50 < x\r<BR>\n" );
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document.write( "This is the same as:\r<BR>\n" );
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document.write( "x > 50\r<BR>\n" );
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document.write( "The number of hours you use the tennis courts in a year has to be greater than 50 in order for becoming a member to be cheaper than remaining a non-member.\r<BR>\n" );
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document.write( "Assume the hours are 49, 50, and 51 respectively.\r<BR>\n" );
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document.write( "Non-member cost would be:\r<BR>\n" );
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document.write( "49 * 10 = 490<BR>\n" );
document.write( "50 * 10 = 500<BR>\n" );
document.write( "51 * 10 = 510\r<BR>\n" );
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document.write( "Member costs would be:\r<BR>\n" );
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document.write( "300 + 49*4 = 496 <BR>\n" );
document.write( "300 + 50*4 = 500<BR>\n" );
document.write( "300 + 51*4 = 504\r<BR>\n" );
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document.write( "At 49 hours, the non-member cost is cheaper.<BR>\n" );
document.write( "At 50 hours, the non-member cost and the member cdost are the same.<BR>\n" );
document.write( "At 51 hours, the member cost is cheaper.\r<BR>\n" );
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document.write( "The answer provided is confirmed.\r<BR>\n" );
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document.write( "The number of hours need to be greater than 50 for the member cost to be less than the non-member cost.\r<BR>\n" );
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