document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146787>Question 146787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bank offers two checking account plans. hte anywher plan charges 30 cents per check. the accucheck plan charges $1.00 per month, plus 25 cents per check\r<BR>\n" );
document.write( "\n" );
document.write( "For what number of checks will the accucheck plan cost less the the anywhere plan?\r<BR>\n" );
document.write( "\n" );
document.write( "choose the range of checks which will cost less under the accucheck plan than under the anywhere plan          d.20 checks<BR>\n" );
document.write( "a. less than 20 checks<BR>\n" );
document.write( "b. 20 or more checks<BR>\n" );
document.write( "c. more than 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107205 by </B><A HREF=/tutors/aboutme.mpl?userid=BrittanyM><B>BrittanyM(80)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=BrittanyM><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=107205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve this problem, we will first write equations to model both plans.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The Accucheck Plan charges an initial fee of 1.00 and a .25 per check fee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Accucheck = .25c + 1.00\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The Anywhere Plan has no initial fee and charges a .30 per check fee.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Anywhere = .30c\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We are asked to find the value at which the Accucheck Plan is the greater deal.<BR>\n" );
document.write( "(For values less than, equal to, or greater than twenty)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "With these equations, we will plug in test numbers and check the costs of each account.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For choice A, less than twenty checks, we will try ten.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Accucheck = .25(10) + 1.00<BR>\n" );
document.write( "Accucheck = 3.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Anywhere = .30(10)<BR>\n" );
document.write( "Anywhere = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since Accucheck is not a better value for less than twenty checks, we move on to choice B, equal to twenty.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Accucheck = .25(20) + 1.00<BR>\n" );
document.write( "Accucheck = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Anywhere = .30(20)<BR>\n" );
document.write( "Anywhere = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So exactly twenty checks makes both plans an equal value.  From this, we can see that any value over twenty is going to make the Accucheck Plan better.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the answer is C.  For any values over twenty, Accucheck is a better plan. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );