document.write( "Question 447762: Please help me!!!!!!!!
\n" ); document.write( " Solve. Please show the algebraic inequality you used and show all of your work.
\n" ); document.write( "Two cell phone companies are advertising rates. Company A charges a rate of $20 per month plus $0.05 per minute. Company B charges a rate of $10 per month plus $0.10 per minute. What is the number of minutes used above which Company A costs more than Company B?
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Algebra.Com's Answer #308312 by ankor@dixie-net.com(22740)\"\" \"About 
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Two cell phone companies are advertising rates.
\n" ); document.write( " Company A charges a rate of $20 per month plus $0.05 per minute.
\n" ); document.write( " Company B charges a rate of $10 per month plus $0.10 per minute.
\n" ); document.write( " What is the number of minutes used above which Company A costs more than Company B?
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\n" ); document.write( "Let m = no. of minutes for this to be true
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\n" ); document.write( "Write an cost equation for each plan
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\n" ); document.write( "\"Company A charges a rate of $20 per month plus $0.05 per minute.\"
\n" ); document.write( "Cost A = .05m + 20
\n" ); document.write( ":
\n" ); document.write( "\"Company B charges a rate of $10 per month plus $0.10 per minute.\"
\n" ); document.write( "Cost B = .10m + 10
\n" ); document.write( ":
\n" ); document.write( "What is the number of minutes used above which Company A costs more than Company B?
\n" ); document.write( "Cost A > Cost B
\n" ); document.write( "which is
\n" ); document.write( ".05m + 20 > .10m + 10
\n" ); document.write( ".05m - .10m > 10 - 20
\n" ); document.write( "-.05m > -10
\n" ); document.write( "We need to get rid of the negatives, multiply by -1, this reverses the inequality sign
\n" ); document.write( ".05m < 10
\n" ); document.write( "m < \"10%2F.05\"
\n" ); document.write( "m < 200
\n" ); document.write( "We can translate this to the statement
\n" ); document.write( "\"Plan A cost more than Plan B when you use less than 200 min\"
\n" ); document.write( "or
\n" ); document.write( "\"Plan A cost less than Plan B when you exceed 200 min\"
\n" ); document.write( ":
\n" ); document.write( "Let's see if that is true:
\n" ); document.write( "If you use 201 min
\n" ); document.write( "A = .05(201) + 20 = $30.05
\n" ); document.write( "B + .10(201) + 10 = $30.10
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