document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146665>Question 1146665</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carlos is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.<BR>\n" );
document.write( "Company A charges $119 and allows unlimited mileage.<BR>\n" );
document.write( "Company B has an initial fee of $65 and charges an additional $0.90 for every mile driven.<BR>\n" );
document.write( "For what mileages will Company A charge less than Company B?<BR>\n" );
document.write( "Use m for the number of miles driven, and solve your inequality for m. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768106 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=768106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = what company A charges.<BR>\n" );
document.write( "let b = what company B charges.<BR>\n" );
document.write( "a = 119<BR>\n" );
document.write( "b = 65 + .9 * m<BR>\n" );
document.write( "m = number of miles driven.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you want to know the number of miles that will result in company A charging less than company B.<BR>\n" );
document.write( "a < b implies that 119 < 65 + .9 * m<BR>\n" );
document.write( "subtract 65 from both sides to get:<BR>\n" );
document.write( "54 < .9 * m<BR>\n" );
document.write( "divide both sides by .9 to get:<BR>\n" );
document.write( "54 / .9 < m<BR>\n" );
document.write( "this results in 60 < m<BR>\n" );
document.write( "this means that m > 60.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "company A charges less than company B when the number of miles driven is greater than 60.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when the number of miles is 60, company B charges 65 + .9 * 60 = 119.<BR>\n" );
document.write( "this is the same as what company A charges.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when the number of miles is 61, company B charges 65 + .9 * 61 = 119.9.<BR>\n" );
document.write( "this is more than company A charges.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the break even point is at 60 miles.<BR>\n" );
document.write( "when the number of miles driven is greater than 60, company A charges less than company B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );