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charle [14.2K]
3 years ago
12

A phone company offers two monthly charge plans. In Plan A, there is no monthly fee, but the customer pays cents per minute of u

se. In Plan B, the customer pays a monthly fee of and then an additional cents per minute of use. For what amounts of monthly phone use will Plan A cost more than Plan B? Use for the number of minutes of phone use in a month, and solve your inequality for .
Business
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

For more than 180 minutes of phone use.

Explanation:

Let m represent number of minutes of phone use in a month.

We have been given that in Plan A, there is no monthly fee, but the customer pays $0.06 per minute of use.

The cost of using m minutes in plan A would be 0.06m.

We are also told that in Plan B, the customer pays a monthly fee of $4.80 and then an additional $0.03 per minute of use.

The cost of using m minutes in plan B would be 0.03m+4.80.

To find the amounts of monthly phone when Plan A will cost more than Plan B, we will set cost of plane A greater than cost of plan B as:

0.06m>0.03m+4.80

Let us solve for m.

0.06m-0.03m>0.03m-0.03m+4.80

0.03m>4.80

\frac{0.03m}{0.03}>\frac{4.80}{0.03}

m>180

Therefore, Plan A will cost more than Plan B for more than 180 minutes of phone use.

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