document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344076>Question 344076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Heey, Can You Help Me Solve This Word Problem?(: Thank Youu.<BR>\n" );
document.write( "Ace Rent A Car charges a flat fee of $20 and $0.20 a mile for their cars. Acme Rent A Car charges a flat fee of $38 and $0.10 a mile for their cars. Use the following model to find out after how many miles Ace Rent a Car becomes more expensive then Acme Rent a Car.<BR>\n" );
document.write( "c=20+0.2m  Ace<BR>\n" );
document.write( "c=38+0.1m   Acme </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246181 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of miles traveled.\r<BR>\n" );
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document.write( "Then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C_1(x)\ =\ 0.20x\ +\ 20\">\r<BR>\n" );
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document.write( "Represents the total cost in dollars of renting from Company #1 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> miles.\r<BR>\n" );
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document.write( "Whereas:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C_2(x)\ =\ 0.10x\ +\ 38\">\r<BR>\n" );
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document.write( "Represents the total cost in dollars of renting from Company #2 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> miles.\r<BR>\n" );
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document.write( "Clearly, for small values of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \ C_1\"> is less expensive.  Substitute 1 mile for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> in each of the functions and see which is smaller, i.e. less expensive.\r<BR>\n" );
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document.write( "Also, for large values of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \ C_2\"> becomes less expensive at some point.  Substitute 1000 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> in each of the functions and see which is smaller, i.e. less expensive.\r<BR>\n" );
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document.write( "Somewhere between 1 mile and 1000 miles is a point where the cost of both becomes equal.  This is called the break-even point.  Mileage below the breakeven point makes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large C_1\"> less, above the breakeven point makes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large C_2\"> less.\r<BR>\n" );
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document.write( "The breakeven point is where the two costs are equal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C_1(x)\ =\ C_2(x)\">\r<BR>\n" );
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document.write( "But we can replace each side of this equation with the expressions they are equal to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 0.20x\ +\ 20\ =\ 0.10x\ +\ 38\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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