document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668470>Question 668470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are choosing between two long distance plans. Plan A has a monthly fee of $15.00 with a charge of .08 per minute for all long distance calls. Plan B has a monthly fee of $3.00 with a charge of .12 per minute for all long distance calls.<BR>\n" );
document.write( "a. For how many minutes of long distance calls will the costs for the two plans be the same. What will the cost for each plan be?<BR>\n" );
document.write( "b. If you make approximately 15 long distance calls per month, each averaging 39 minutes,which plan should you select? Please explain your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415602 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are choosing between two long distance plans.<BR>\n" );
document.write( " Plan A has a monthly fee of $15.00 with a charge of .08 per minute for all long distance calls.<BR>\n" );
document.write( " Plan B has a monthly fee of $3.00 with a charge of .12 per minute for all long distance calls.<BR>\n" );
document.write( "Write a cost equation for each plan<BR>\n" );
document.write( "let m = no. of minutes used<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A: C = .08m + 15<BR>\n" );
document.write( "B: C = .12m + 3<BR>\n" );
document.write( ";<BR>\n" );
document.write( "a. For how many minutes of long distance calls will the costs for the two plans be the same.<BR>\n" );
document.write( "The two cost will be equal, so we can write an equation like this:<BR>\n" );
document.write( ".12m + 3 = .08m + 15<BR>\n" );
document.write( ".12m - .08m = 15 - 12<BR>\n" );
document.write( ".04m = 12<BR>\n" );
document.write( "m = 12/.04 <BR>\n" );
document.write( "m = 300 minutes will cost the same<BR>\n" );
document.write( ":<BR>\n" );
document.write( "What will the cost for each plan be?<BR>\n" );
document.write( "replace m with 300 in the 1st equation<BR>\n" );
document.write( "C = .08(300) + 15<BR>\n" );
document.write( "C = 24 + 15<BR>\n" );
document.write( "C = $39<BR>\n" );
document.write( "Confirm this in the 2nd equation<BR>\n" );
document.write( "C = .12(300) + 3<BR>\n" );
document.write( "C = 36 + 3<BR>\n" );
document.write( "C = $39 also<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. If you make approximately 15 long distance calls per month, each averaging 39 minutes,<BR>\n" );
document.write( "which plan should you select? Please explain your answer.<BR>\n" );
document.write( "Find how many minutes are 15 calls at 39 min each<BR>\n" );
document.write( "15(39) = 585 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check both plans using 585 min<BR>\n" );
document.write( "A:<BR>\n" );
document.write( " C = .08(585) + 15<BR>\n" );
document.write( " C = 46.80 + 15<BR>\n" );
document.write( " C = $61.80<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B:<BR>\n" );
document.write( " C = .12(585) + 3<BR>\n" );
document.write( " C = 70.20 + 3<BR>\n" );
document.write( " C = $73.20<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can draw your own conclusions on this and explain what went on here. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );