document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097858>Question 1097858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a word step equation. I'll type it down. Renting in-line skates and safety equipment costs 3.50 per hr. Renting ONLY safety equipment costs 1.50 an hour. You can buy used in-line skates from your friend for $40 OR you can rent some. Either way, you must rent safety equipment. How many hour smust you skate for the cost of renting skates be more than not renting skates? (Hint: This inequality involves the variable on both sides. I started and this is where I got. 3.50h       40. From there I was thinking of many solutions. Please help me solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712303 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=712303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you rent both then the cost is 3.50 * x, where x is the number of hours skate.\r<BR>\n" );
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document.write( "if you buy the skates, then the cost is 40 + 1.50 * x.\r<BR>\n" );
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document.write( "the 40 is up front one time fixed cost and the 2.50 per hour is the cost of renting the safety equipment.\r<BR>\n" );
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document.write( "you want to know when the cost of renting skates is more than the cost of buying skates.\r<BR>\n" );
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document.write( "your equation would be 3.50 * x > 40 + 1.50 * x\r<BR>\n" );
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document.write( "subtract 1.50 * x from both sides of this equation and you get 2.00 * x > 40\r<BR>\n" );
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document.write( "divide both sides of this equation (actually an inequality) and you get x > 20.\r<BR>\n" );
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document.write( "you would have to skate more than 20 hours for the cost of renting the skates to be more than the cost of buying the skates.\r<BR>\n" );
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document.write( "test this out with x < 20 and x = 20 and x > 20\r<BR>\n" );
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document.write( "i used x = 18, 20, and 22.\r<BR>\n" );
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document.write( "cost of renting skates versus cost of buying skates table is shown below:\r<BR>\n" );
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document.write( "hours             buy skates                 rent skates         cheaper\r\n" );
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document.write( "18                40 + 18 * 1.50 = 67        18 * 3.50 = 73      rent\r\n" );
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document.write( "20                40 + 20 * 1.50 = 70        20 * 3.50 = 70      both the same\r\n" );
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document.write( "22                40 + 22 * 1.50 = 73        22 * 3.50 = 77      buy\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "the cutoff is at 20 when the cost of buying and renting is the same.<BR>\n" );
document.write( "any hours over that and the cost of buying the skates is less than renting both.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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