document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163951>Question 163951</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495565215/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rental company charges $65 a day and 30 cents a mile for renting a truck. Michael rents a truck for 3 days, and his bill comes to $275. How many miles did he drive?<BR>\n" );
document.write( "I can figure out that the answer is 400 miles, but I don't know how to put it in an algebraic equation form.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120798 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let C = cost to rent<BR>\n" );
document.write( "let D = number of days<BR>\n" );
document.write( "let M = number of miles.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "formula is:<BR>\n" );
document.write( "C = ($65.00 * D) + ($.3 * M)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "in your problem,<BR>\n" );
document.write( "C = $275.00<BR>\n" );
document.write( "D = 3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "substitute known values in equation.<BR>\n" );
document.write( "$275.00 = $65.00 * 3 + $.3 * M<BR>\n" );
document.write( "perform indicated operations.<BR>\n" );
document.write( "$275.00 = $195.00 + $.3 * M<BR>\n" );
document.write( "subtract 195 from both sides of equation.<BR>\n" );
document.write( "$275.00 - $195.00 = $.3 * M<BR>\n" );
document.write( "perform indicated operations.<BR>\n" );
document.write( "$80.00 = $.3 * M<BR>\n" );
document.write( "divide both sides of equation by $.3<BR>\n" );
document.write( "$80.00 / $.3 = M<BR>\n" );
document.write( "perform indicated operations.<BR>\n" );
document.write( "266.6666666667 = M<BR>\n" );
document.write( "which is the same as<BR>\n" );
document.write( "266 + 2/3 = M (.666666667 is same as 2/3)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "answer is 266 and 2/3 miles.<BR>\n" );
document.write( "not sure how you got 400 but it isn't right.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "plugging values into original equation will help you to see this.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "C = 3*65 + .3*(400) = 195 + 120 = 315 (not equal to 275)<BR>\n" );
document.write( "C = 3*65 + .3 (266 + 2/3) = 195 + 79.8 + .2 = 195 + 80 = 275<BR>\n" );
document.write( "----- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );