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December 21st, 2013, 03:12 AM  #1 
Newbie Joined: Dec 2013 Posts: 18 Thanks: 0  Algebra Problem
A phone company offers two monthly charge plans. In Plan A, there is no monthly fee, but the customer pays 6 cents per minute of use. In Plan B, the customer pays a monthly fee of $2 and then an additional 5 cent per minute of use. For what amounts of monthly phone use will Plan A cost more than Plan B? Use m for the number of minutes of phone use in a month, and solve your inequality for m. ? 
December 21st, 2013, 04:15 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361  Re: Algebra Problem
Let A(m) be the monthly charge for Plan A and Let B(m) be the monthly charge for plan B in dollars. Then A(m) = 0.06m B(m) = 0.05m + 2 We want A(m) > B(m), so solve 0.06m > 0.05m + 2 gives 0.01m > 2 i.e. m > 200 So if you call for more than 200 minutes (on average) then the charge of Plan A is higher. 

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