document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992291>Question 992291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car rental company offers two plans for renting a car. <BR>\n" );
document.write( "Plan A: 38 dollars per day and 20 cents per mile. <BR>\n" );
document.write( "Plan B: 57.04 dollars per day and 12 cents per mile.\r<BR>\n" );
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document.write( "If you plan to rent the car for one day, and m represents the number of miles driven in that day, for how many miles driven would you save money with plan B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611938 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=611938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation for plan A is ca = 38 + .20 * x<BR>\n" );
document.write( "equation for plan B is cb = 57.04 + .12 * x\r<BR>\n" );
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document.write( "question is for how many miles driven would you save money with plan B.\r<BR>\n" );
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document.write( "you will save money with plan B when the cost of plan B is less than the cost of plan A.\r<BR>\n" );
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document.write( "this means that cb < ca\r<BR>\n" );
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document.write( "replace cb with it's equation and replace ca with its equation to get:\r<BR>\n" );
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document.write( "57.04 + .12 * x < 38 + .20 * x\r<BR>\n" );
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document.write( "subtract 38 from both sides of this equation and subtract .12 * x from both sides of this equation to get:\r<BR>\n" );
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document.write( "57.04 - 38 < .20 * x - .12 * x\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "19.04 < .08 * x\r<BR>\n" );
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document.write( "divide both sides of this equation by .08 to get:\r<BR>\n" );
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document.write( "19.04 / .08 < x\r<BR>\n" );
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document.write( "238 < x\r<BR>\n" );
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document.write( "solve for x to get x > 238 miles.\r<BR>\n" );
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document.write( "when x = 238 miles, plan A costs 85.6 and plan B costs 85.6.<BR>\n" );
document.write( "plan B costs the same as plan A.<BR>\n" );
document.write( "this is the break even point.\r<BR>\n" );
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document.write( "when x = 239 which is greater than 238, plan A costs 85.8 and plan B costs 85.72.<BR>\n" );
document.write( "plan B is now cheaper than plan A and will remain cheaper as long as the number of miles driven is greater than 238.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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