document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550730>Question 550730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total cost of a taxi ride is the sum of<BR>\n" );
document.write( "a) A basic fixed cost for the first five miles<BR>\n" );
document.write( "b) An additional charge for every three miles after the first five.\r<BR>\n" );
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document.write( "If the cost to travel 11 miles is $5, and the cost to travel 35 miles is $11, how many miles can you go with $7.25?\r<BR>\n" );
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document.write( "Please explain step by step, thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359027 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total cost of a taxi ride is the sum of<BR>\n" );
document.write( "a) A basic fixed cost for the first five miles which we will call b<BR>\n" );
document.write( "b) An additional charge for every three miles after the first five which we will call a\r<BR>\n" );
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document.write( "Lets make mileage be m\r<BR>\n" );
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document.write( "In order to figure out the millage after the first 5 we can just do m-5.\r<BR>\n" );
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document.write( "But the charge is for every three miles so we have to do (m-5)/3\r<BR>\n" );
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document.write( "Our formula will be b+a*((m-5)/3)\r<BR>\n" );
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document.write( "If the cost to travel 11 miles is $5, and the cost to travel 35 miles is $11, how many miles can you go with $7.25?<BR>\n" );
document.write( "For 11 miles (which cost 5 dollars)<BR>\n" );
document.write( "5=b+a*((11-5)/3)\r<BR>\n" );
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document.write( "5=b+a*2<BR>\n" );
document.write( "For 35 miles (which cost 11 dollars)<BR>\n" );
document.write( "11=b+a*((35-5)/3)<BR>\n" );
document.write( "11=b+a*10\r<BR>\n" );
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document.write( "Now we can use elimination method:\r<BR>\n" );
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document.write( "11=b+a*10<BR>\n" );
document.write( "minus<BR>\n" );
document.write( "5=b+a*2<BR>\n" );
document.write( "6=a*8<BR>\n" );
document.write( "a=6/8=3/4\r<BR>\n" );
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document.write( "now lets sub in for a<BR>\n" );
document.write( "5=b+a*2<BR>\n" );
document.write( "5=b+(3/4)*2<BR>\n" );
document.write( "5=b+3/2<BR>\n" );
document.write( "5=b+1.5<BR>\n" );
document.write( "b=3.5\r<BR>\n" );
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document.write( "So our formula is now c=3.50+(3/4)*((m-5)/3)\r<BR>\n" );
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document.write( "So let's see how far we can go for 7.25\r<BR>\n" );
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document.write( "7.25=3.50+(3/4)*((m-5)/3)<BR>\n" );
document.write( "3.75=(3/4)*((m-5)/3)=1/4*(m-5) (because the divided by 3 and the 3 in the numerator cancel out)<BR>\n" );
document.write( "3.75=1/4*(m-5)<BR>\n" );
document.write( "3.75*4=m-5<BR>\n" );
document.write( "15=m-5<BR>\n" );
document.write( "m=20 </SPAN>\n" );
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