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
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); 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.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #313705 by stanbon(75887)\"\" \"About 
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( "
\n" );