document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160244>Question 1160244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each<BR>\n" );
document.write( "kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),<BR>\n" );
document.write( "rounded up to the nearest kilometer.<BR>\n" );
document.write( "Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee<BR>\n" );
document.write( "is. She wants to know how far the journey was.\r<BR>\n" );
document.write( "\n" );
document.write( "She has a previous bill from the same taxi company, for a different journey, for $21.80.<BR>\n" );
document.write( "How far was her last journey? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783555 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75), rounded up to the nearest kilometer.<BR>\n" );
document.write( "Therefore min dist: 1.75/.1 = 17.5 ~ 18 km min dist<BR>\n" );
document.write( "f(x) = .10x + a<BR>\n" );
document.write( "Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee is.<BR>\n" );
document.write( "x = dist traveled<BR>\n" );
document.write( "a = fixed amt<BR>\n" );
document.write( ".10x + a = 37.90<BR>\n" );
document.write( "a = -.10x + 37.90<BR>\n" );
document.write( "She wants to know how far the journey was.<BR>\n" );
document.write( "She has a previous bill from the same taxi company, for a different journey, for $21.80.<BR>\n" );
document.write( "y = dist traveled in this journey<BR>\n" );
document.write( ".10y + a = 21.80<BR>\n" );
document.write( "a = -.10y + 21.80<BR>\n" );
document.write( "How far was her last journey<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using these two equations<BR>\n" );
document.write( ".10x + a = 37.90<BR>\n" );
document.write( ".10y + a = 21.80<BR>\n" );
document.write( "---------------------subtraction eliminates a<BR>\n" );
document.write( ".10x - .10y = 16.10<BR>\n" );
document.write( ".10x - .10y = 16.10<BR>\n" );
document.write( "-.10y = -10x + 16.10<BR>\n" );
document.write( "get rid of the neg and decimal mult by -10<BR>\n" );
document.write( "y = x - 161<BR>\n" );
document.write( "lets assume y = 18 km (min trip)<BR>\n" );
document.write( "x - 161 = 18<BR>\n" );
document.write( "x = 161 + 18<BR>\n" );
document.write( "x = 179 kms<BR>\n" );
document.write( ":<BR>\n" );
document.write( "see of that gives us our fixed fee<BR>\n" );
document.write( ".10(179) + a = 37.90<BR>\n" );
document.write( "17.90 + a = 37.90<BR>\n" );
document.write( "a = 37.90 - 17.90<BR>\n" );
document.write( "a = $20 is the fixed fee<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out with 2nd trip y = 18 km<BR>\n" );
document.write( ".10y + a = 21.80<BR>\n" );
document.write( ".10(18) + a = 21.80<BR>\n" );
document.write( "1.80 + a = 21.80<BR>\n" );
document.write( "a = 21.80 - 1.80<BR>\n" );
document.write( "a = $20 here too<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Summarizing<BR>\n" );
document.write( "fixed fee  = $20<BR>\n" );
document.write( "1st trip: 179 km<BR>\n" );
document.write( "2nd trip: 18 km </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );