document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199969>Question 1199969</A>: <I><SPAN STYLE=\"word-break: break-all;\">  car rental company offers two plans for renting a car:<BR>\n" );
document.write( "Plan A: 30 dollars per day and 18 cents per mile<BR>\n" );
document.write( "Plan B: 50 dollars per day with free unlimited mileage\r<BR>\n" );
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document.write( "For what range of miles will plan B save you money for a 1 day rental?\r<BR>\n" );
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document.write( "To save money the mileage must be greater than__miles per day. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833974 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=833974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = number of miles driven<BR>\n" );
document.write( "y = total cost in dollars\r<BR>\n" );
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document.write( "Plan A: <BR>\n" );
document.write( "y = 0.18x+30\r<BR>\n" );
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document.write( "Plan B:<BR>\n" );
document.write( "y = 50\r<BR>\n" );
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document.write( "The variable x is not involved with the cost equation of plan B, since there's unlimited mileage. <BR>\n" );
document.write( "You drive as much as you want and pay the same flat rate of $50.\r<BR>\n" );
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document.write( "Use substitution to solve for x.<BR>\n" );
document.write( "y = 50<BR>\n" );
document.write( "0.18x+30 = 50<BR>\n" );
document.write( "0.18x = 50-30<BR>\n" );
document.write( "0.18x = 20<BR>\n" );
document.write( "x = 20/(0.18)<BR>\n" );
document.write( "x = 111.111111111111<BR>\n" );
document.write( "That value is approximate.\r<BR>\n" );
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document.write( "If you drove 111 miles, then plan A costs <BR>\n" );
document.write( "y = 0.18*x+30<BR>\n" );
document.write( "y = 0.18*111+30<BR>\n" );
document.write( "y = 49.98<BR>\n" );
document.write( "Meaning that plan A is the cheaper option for this mileage.\r<BR>\n" );
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document.write( "But if you drove 112 miles, then plan A costs<BR>\n" );
document.write( "y = 0.18*x+30<BR>\n" );
document.write( "y = 0.18*112+30<BR>\n" );
document.write( "y = 50.16<BR>\n" );
document.write( "Showing that plan B is now the better choice.\r<BR>\n" );
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document.write( "To save money with plan B, the mileage must be <font color=red>greater than <u>&nbsp;&nbsp;111&nbsp;&nbsp;</u> miles per day</font><BR>\n" );
document.write( "In other words, the mileage must be 112,113,114,etc if the mileage is an integer.<BR>\n" );
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