document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444908>Question 444908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> NEED HELP!!!\r<BR>\n" );
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document.write( "A person is chosing between 2 cellular phone plans. One has a monthly fee of $50 for 500 minutes plus $0.35 for each minute over the 500. The second plan has a monthly fee of $75 for 1000 minutes plus $0.45 for each minute over the 1000.\r<BR>\n" );
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document.write( "After how many minutes used are the monthly costs of the plans equal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306605 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let C1 = the cost of plan 1<BR>\n" );
document.write( "Let C2 = the cost of plan 2<BR>\n" );
document.write( "Let x = the number of minutes used<BR>\n" );
document.write( "For the costs of the two plans we can write:<BR>\n" );
document.write( "C1 = 50 + 0.35(x - 500) [x >= 500]<BR>\n" );
document.write( "C2 = 75 + 0.45(x - 1000) [x >= 1000]<BR>\n" );
document.write( "Set C1 = C2, since the costs are equal:<BR>\n" );
document.write( "50 + 0.35(x - 500) = 75 + 0.45(x - 1000)<BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "50 + 0.35x - 175 = 75 + 0.45x - 450<BR>\n" );
document.write( "0.1x = 250<BR>\n" );
document.write( "x = 2500<BR>\n" );
document.write( "Ans: 2500 minutes<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "C1 = 50 + 0.35(2500-500) = 50 + 700 = 750<BR>\n" );
document.write( "C2 = 75 + 0.45(2500-1000) = 75 + 675 = 750 </SPAN>\n" );
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