document.write( "Question 88092: How Can I Translate the following statements into inequalities.
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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 \n" );
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Algebra.Com's Answer #63997 by tutor_paul(519)![]() ![]() You can put this solution on YOUR website! Let's try to think this through rather than just write down the answer :-) \n" ); document.write( "Reading the problem, the first thing I see is that the goal is to keep the \n" ); document.write( "cost less than $3. This immediately tells me that I will use the < (less than) \n" ); document.write( "symbol in my inequality, and however long I talk, the cost must be less than \n" ); document.write( "$3. So I can write this part of the inequality: \n" ); document.write( "--------------------- \n" ); document.write( "something < $3 \n" ); document.write( "--------------------- \n" ); document.write( "Now, we need to figure out what is that \"something.\" \n" ); document.write( "Reading the problem, I see that the first minute of talking is going to cost me \n" ); document.write( "$0.36. The first minute only happens once per call. So $0.36 is part of the \n" ); document.write( "\"something.\" With this information, I can make the inequality a little more \n" ); document.write( "informative: \n" ); document.write( "----------------------------- \n" ); document.write( "$0.36 + something_else < $3 \n" ); document.write( "----------------------------- \n" ); document.write( "So, we are up to that \"something else.\" Again, from the problem, you are told that the cost after the first minute is $0.21 per minute. That implies a multiplication... i.e. every minute you talk costs $0.21. If you let 'x' equal \n" ); document.write( "the number of minutes, you can see that the \"something_else\" is $0.21x. So now, \n" ); document.write( "my inequality is done! \n" ); document.write( "------------------- \n" ); document.write( "$0.36+$0.21x < $3 \n" ); document.write( "-------------------\r \n" ); document.write( "\n" ); document.write( "Good Luck, \n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( " \n" ); document.write( " |