document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31906>Question 31906</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534373526/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A telephone company offers two long-distance plans.<BR>\n" );
document.write( "Plan A: $25 per month and .05 per minute<BR>\n" );
document.write( "Plan B: $5  per month and .12 per minute<BR>\n" );
document.write( "For how many minutes of long-distance calls would plan B be finanically advantageous?\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18482 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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=18482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "Let's call X to the number of minutes of long-distance calls you plan to make.\r<BR>\n" );
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document.write( "The cost of plan A is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2B0.05X ALIGN=MIDDLE  ALT=\"25%2B0.05X\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The cost of plan B is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B0.12X ALIGN=MIDDLE  ALT=\"5%2B0.12X\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plan B is advantageous when its cost is lower than plan A's. Therefore, we set the inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B0.12X+%3C+25%2B0.05X ALIGN=MIDDLE  ALT=\"5%2B0.12X+%3C+25%2B0.05X\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And then solve for X. This will give us the range of minutes for which B is more convenient.\r<BR>\n" );
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document.write( "Subtract 5 from both sides of the inequality to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.12X+%3C+20%2B0.05X ALIGN=MIDDLE  ALT=\"0.12X+%3C+20%2B0.05X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now subtract 0.05X:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.12X+-+0.05X+%3C+20 ALIGN=MIDDLE  ALT=\"0.12X+-+0.05X+%3C+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.07X%3C20 ALIGN=MIDDLE  ALT=\"0.07X%3C20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Finally, divide by 0.07 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+%3C+20%2F0.07 ALIGN=MIDDLE  ALT=\"X+%3C+20%2F0.07\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X++%3C+285.71 ALIGN=MIDDLE  ALT=\"X++%3C+285.71\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So plan B is advantageous if you plan to use less than 286 minutes of long distance calls.\r<BR>\n" );
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document.write( "I hope this helps!<BR>\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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