document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394512>Question 394512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one phone company charges 99 cents per call, plus5 cents per minute. A second phone company charges 8 cents per minute with no connection fee. what length phone calls are cheaper with the first phone company? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279920 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let m = # minutes , which I will treat as a CONTINUOUS variable (rather than discrete).<BR>\n" );
document.write( "Then we want <BR>\n" );
document.write( "0.99 + 0.05m < 0.08m<BR>\n" );
document.write( "==> 0.99 < 0.03m<BR>\n" );
document.write( "==> 33 < m<BR>\n" );
document.write( "Hence for any number of minutes greater than 33 minutes, the 1st phone company is cheaper.  <BR>\n" );
document.write( "( Treating m as a discrete variable is actually anti-consumer, because if you spent for example, 25.01 minutes of phone call, then you get charged m = 26 minutes. Would you like that?) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );