document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344067>Question 344067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hii. Working on algebra two word problems and it so frustraiting! \r<BR>\n" );
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document.write( "1)ace rent a car charges a flat fee of $15 and $0.24 a mile for their cars. Acme rent a car charges a flat fee of $29 and $0.14 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.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246167 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=246167\">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( "And I'll bet you can imagine just how frustrating it is for me to read your post when you misspell 'frustrating'.  So depressing, discouraging, disheartening, and disconcerting.  Ah well, perhaps someday you will grow up enough to have the courtesy to proofread your written communications before you send them.\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)\ =\ 0.24x\ +\ 15\">\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)\ =\ 0.14x\ +\ 29\">\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 \ \ \ \ \ \ \ \ \ \ 0.24x\ +\ 15\ =\ 0.14x\ +\ 29\">\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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