document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112921>Question 112921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am working on a problemn that goes like this: The cost of a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.<BR>\n" );
document.write( "What I have for the inequality so far is this: x=0.36+0.21x=$3.00, am I even close on this? <BR>\n" );
document.write( "Thank you for your help,<BR>\n" );
document.write( "Barb Neely </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82299 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE IF YOU CAN FOLLOW MY APPROACH, BARB. I LIKE TO LAY OUT WORD PROBLEMS SO I CAN CLEARLY SEE WHAT THE UNKNOWNS REPRESENT AND HOW THEY RELATE TO OTHER COMPONENTS OF THE PROBLEM.<BR>\n" );
document.write( "Let x=number of minutes a person can talk without exceeding $3.<BR>\n" );
document.write( "Now we are told that the cost of talking x minutes=$0.36+0.21(x-1) and we are also told that this has to be less than or equal to $3.  So our inequality is:\r<BR>\n" );
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document.write( "$0.36+$0.21(x-1)<=$3 get rid of parens\r<BR>\n" );
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document.write( "$0.36+$0.21x-$0.21<=$3  simplify <BR>\n" );
document.write( "$0.15+$0.21x<=$3 subtract $0.15 from both sides\r<BR>\n" );
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document.write( "$0.15-$0.15+$0.21x<=$3-$0.15  collect like terms\r<BR>\n" );
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document.write( "$0.21x<=$2.85  divide both sides by $0.21\r<BR>\n" );
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document.write( "x<=13.5714 minutes but we would be charged for 14 minutes\r<BR>\n" );
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document.write( "14 minutes would cost $0.36+13*$0.21=$0.36+$2.73=$3.09 and this breaks the bank so we have to round down to the nearest minute:\r<BR>\n" );
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document.write( "x<=13 minutes---------ans\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "$0.36+12*$0.21=$0.36+$2.52=$2.88 and<BR>\n" );
document.write( "$2.88<=$3.00------------------one more minute or portion thereof would break the bank\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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