document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104274>Question 104274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this problem, I can't seem to get it set up right, Thanks in advance.<BR>\n" );
document.write( "John and Sherry needed to rent a car for a week.Avis wanted $28 per day, with no mileage fee. Toyota wanted $108 per week and $.14 per mile. How many miles would they have to drive before the Avis price is less than the Toyota price?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75889 by </B><A HREF=/tutors/aboutme.mpl?userid=mathnard><B>mathnard(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathnard><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Now this problem is easier than it looks.  I can already guess where your mistakes are.  REMEMBER:  John and Sherry are renting for 1 week.\r<BR>\n" );
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document.write( "Let's start with AVIS.  Since there are no mileage fees, this means that the price John and Sherry will pay will be equal to 7 days of the $28 fee.<BR>\n" );
document.write( "7x28=196.  <BR>\n" );
document.write( "That's pretty expensive.\r<BR>\n" );
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document.write( "AVIS:  $196 per week\r<BR>\n" );
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document.write( "TOYOTA:  108 plus .14 for every mile driven?<BR>\n" );
document.write( "We can write an equation:\r<BR>\n" );
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document.write( "Cost = 108 + 0.14(m)         where m is the number of miles driven\r<BR>\n" );
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document.write( "So the two companies will be the same price when?\r<BR>\n" );
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document.write( "When AVIS's cost is equal to TOYOTA's cost!\r<BR>\n" );
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document.write( "196 = 108 + 0.14(m)<BR>\n" );
document.write( "-108  -108<BR>\n" );
document.write( "88 = 0.14m\r<BR>\n" );
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document.write( "SO m = 88/0.14 or 628.57 miles.  \r<BR>\n" );
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document.write( "Ok, great.  What does that mean?  It means that Toyota's cost keeps getting more expensive while AVIS is always at $198.  It means that at 628 miles, Toyota is still cheaper.  But at 629 miles, Avis has magically become the cheaper deal.\r<BR>\n" );
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document.write( "Now, let me guess your mistake:  did you write your equation for Toyota without the decimal point? (108 + 14m)  Don't forget that we don't mean 14 dollars every mile!!!!  You meant to put .14 dollars per mile.  <BR>\n" );
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document.write( " </SPAN>\n" );
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