document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172096>Question 1172096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rachel will rent a car for the weekend. She can choose one of the two plans. The first plan has an initial fee of $48 and costs an additional $0.16 per mile driven. The second plan has an initial fee of $57 and costs an additional $0.14 per mile driven. \r<BR>\n" );
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document.write( "For what amount of driving do the two plans cost the same? \r<BR>\n" );
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document.write( "What is the cost when the two plans cost the same?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797013 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=797013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> plan 1 cost = 48 + .16 * x<BR>\n" );
document.write( "plan 2 cost = 57 + .14 * x<BR>\n" );
document.write( "x is the number of miles.<BR>\n" );
document.write( "plan 1 cost will be the same as plan 2 cost when:<BR>\n" );
document.write( "48 + .16 * x = 57 + .14 * x<BR>\n" );
document.write( "subtract .14 * x from both sides of the equation and subtract 48 from both sides of the equation to get:<BR>\n" );
document.write( ".16 * x - .14 * x = 57 - 48<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( ".02 * x = 9<BR>\n" );
document.write( "divide both sides of the equation by .02 to get:<BR>\n" );
document.write( "x = 9 / .02 = 450<BR>\n" );
document.write( "the two plans should break even at 450 miles driven.<BR>\n" );
document.write( "at 450 miles driven,.....<BR>\n" );
document.write( "plan 1 cost = 48 + .16 * 450 = 120.<BR>\n" );
document.write( "plan 2 cost = 57 + .14 * 450 = 120.\r<BR>\n" );
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document.write( "your solution is:<BR>\n" );
document.write( "the plans will cost the same when 450 miles have been driven.<BR>\n" );
document.write( "the cost when both plans cost the same is 120 collars.\r<BR>\n" );
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