document.write( "Question 457198: When writing an inequality for a word problem, do the units have to be converted to have the same value (dollars and cents) before writing the expression? This was one of our homework questions\r
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document.write( "A cell phone company has offered you two different rates. The first rate is $35 per month and 5 cents per phone call (time does not matter). The second offer is $55 per month and 2 cents per call. Set up the inequality to model this problem and find where it is less expensive to go with the second plan.\r
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document.write( "This is the inequality I came up with: 35 + 5x < 55 + 2x, but I'm not sure if that's correct. Since the price per call is in cents and not whole dollars, would I need to somehow convert that value before trying to write up the inequality? And if so, would it be something like: 35 + .05x < 55 + .02x ? Any help on this would be greatly appreciated. Thank you.
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Algebra.Com's Answer #313705 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 35 + .05x < 55 + .02x \n" ); document.write( "--- \n" ); document.write( "Yes, you need the decimals so everything \n" ); document.write( "is stated in terms of dollars. \n" ); document.write( "--- \n" ); document.write( "But you need to reverse the inequality \n" ); document.write( "because you want the 2nd plan to be \n" ); document.write( "less expensive: \n" ); document.write( "---------- \n" ); document.write( "Solve: 35 + .05x > 55 + .02x \n" ); document.write( "--- \n" ); document.write( "0.03x > 20 \n" ); document.write( "x > 20/0.03 \n" ); document.write( "x > 666.67 \n" ); document.write( "--- \n" ); document.write( "2nd plan is less expensive if 667 phone calls are made. \n" ); document.write( "======================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " |