document.write( "Question 163953This question is from textbook College Algebra
\n" ); document.write( ": A cell phone company charges a monthly fee of $10 for the first 1000 text messages and 10 cents for each additional text message. Miriam's bill for text messages for the month of June is $38.50. How many text messages did she send that month?
\n" ); document.write( "I can figure out the answer(1285 messages) but I don't know how to write the formula.
\n" ); document.write( "Thanks
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Algebra.Com's Answer #120801 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You have the formula in your head
\n" ); document.write( "You just can't get it out
\n" ); document.write( "Let \"b\"= Miriam's monthly bill
\n" ); document.write( "Let \"t\"= the number of text messages sent in the
\n" ); document.write( "month of June by Miriam
\n" ); document.write( "\"t+-+1000\"= the number of text messages over \"1000\"
\n" ); document.write( "Miriam's monthly bill is:
\n" ); document.write( "\"b+=+10+%2B+.1%2A%28t+-+1000%29\" dollars
\n" ); document.write( "Her monthly bill is $38.50. I'll show it in terms of cents
\n" ); document.write( "\"3850+=+1000+%2B+10%2A%28t+-+1000%29\" cents
\n" ); document.write( "Subtract \"1000\" from both sides
\n" ); document.write( "\"2850+=+10%2A%28t+-+1000%29\"
\n" ); document.write( "\"2850+=+10t+-+10000\"
\n" ); document.write( "Add \"10000\" to both sides
\n" ); document.write( "\"12850+=+10t\"
\n" ); document.write( "\"t+=+1285\" messages
\n" ); document.write( "----------------------------
\n" ); document.write( "It might help to go over the units involved in the 1st
\n" ); document.write( "formula which was
\n" ); document.write( "\"b+=+10+%2B+.1%2A%28t+-+1000%29\" dollars
\n" ); document.write( "The \"10\" really stands for ($10/1000 messages)x(1000 messages)
\n" ); document.write( "And the other term is really (.1 dollars/message)x(t - 1000 messages)
\n" ); document.write( "The units work out to dollars for both terms
\n" ); document.write( "----------------------------
\n" ); document.write( "You can check the answer
\n" ); document.write( "\"3850+=+1000+%2B+10%2A%28t+-+1000%29\"
\n" ); document.write( "\"3850+=+1000+%2B+10%2A%281285+-+1000%29\"
\n" ); document.write( "\"3850+=+1000+%2B+10%2A285\"
\n" ); document.write( "\"3850+=+1000+%2B+2850\"
\n" ); document.write( "\"3850+=+3850\"
\n" ); document.write( "OK
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