document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100726>Question 100726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the following statement into an inequality.  Let x represent the number.\r<BR>\n" );
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document.write( "The cost for 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" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73339 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=73339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent 1 less than the total number of minutes for a long-distance phone call. The total cost of the call is 36 cents ($0.36) for the first minute plus 21 cents ($0.21) for each additional minute. So, the number of minutes that cost .36 is 1, by definition. And the total minutes at .21 = x.  (Remember, x is one less than the total number of minutes: you're charged .36 for the first minute, so you don't want to pay for it twice by including it in x.)\r<BR>\n" );
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document.write( "Given you want the call to cost less than $3, the inequality is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.36+%2B+.21x+%3C+3 ALIGN=MIDDLE  ALT=\".36+%2B+.21x+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Solving the inequality is needed to check the solution. Begin with the equivalent equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.36+%2B+.21x+=+3 ALIGN=MIDDLE  ALT=\".36+%2B+.21x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply through by 100 to remove the decimals, which makes the work easier.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+%2B+21x+=+300 ALIGN=MIDDLE  ALT=\"36+%2B+21x+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting 36 from both sides, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21x+=+264 ALIGN=MIDDLE  ALT=\"21x+=+264\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Dividing both sides by 21, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+264%2F21+=+12.57 ALIGN=MIDDLE  ALT=\"x+=+264%2F21+=+12.57\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Returning to the inequality, when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+12.57 ALIGN=MIDDLE  ALT=\"x+%3C+12.57\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the total cost of the long-distance call will be less than $3.\r<BR>\n" );
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document.write( "Check by substituting.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.36+%2B+.21%2812.57%29+%3C+3 ALIGN=MIDDLE  ALT=\".36+%2B+.21%2812.57%29+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which equals 2.9997. Check.\r<BR>\n" );
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document.write( "Keep in mind that if asked how long you could talk, you would have to add back the first minute. So x+1 = 13.57, which is how long the phone call could be and still cost less than $3. </SPAN>\n" );
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