A phone company offers two monthly charge plans. In plan A, there is no monthly fee, but the customer pays 8 cents per minute of use. In plan B, the customer pays a monthly fee of $9.80 and then an additional fee 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.

1 answer

Let's denote the cost of plan A as A(M) and the cost of plan B as B(M).

For plan A:
A(M) = 0.08M

For plan B:
B(M) = 9.80 + 0.08M

We want to find the range of monthly phone use (M values) for which plan A costs more than plan B. This can be expressed as:
A(M) > B(M)
0.08M > 9.80 + 0.08M
0 > 9.80

Since there is no value of M that satisfies this inequality, we can conclude that Plan A will never cost more than Plan B, regardless of the amount of monthly phone use.
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