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December 21st, 2013, 03:12 AM   #1
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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.

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December 21st, 2013, 04:15 AM   #2
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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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