A phone company offers two monthly charge plans. In plan A the customer pays a monthly fee of $25 and then an additional 6 cents per minute of use. In plan B the customer pays a monthly fee of $29.70 and then an additional 5 cents per minute of use. For what amounts of monthly phone use will Plan A cost less than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m?

Answer: the cost of plan A would be lesser than that of plan B for minutes lesser than 470

Step-by-step explanation:

Let m represent the number of minutes of monthly phone used.

In plan A the customer pays a monthly fee of $25 and then an additional 6 cents per minute of use. It means that the total cost of using m minutes in a month is

0.06m + 25

In plan B the customer pays a monthly fee of $29.70 and then an additional 5 cents per minute of use. It means that the total cost of using m minutes in a month is

0.05m + 29.7

The inequality representing the number of minutes of monthly phone use for which Plan A will cost less than Plan B is

0.06m + 25 < 0.05m + 29.7

0.06m - 0.05m < 29.7 - 25

0.01m < 4.7

m < 4.7/0.01

m < 470