A phone company offers two monthly plans. In plan A, the customer pays a monthly fee of $35 and then an additional 9 cents per minute of use. In Plan B, the customer pays a monthly fee of $55.70 and then an additional 6 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.

Question

Mathematics

Maurice Erickson

25 February, 22:33

A phone company offers two monthly plans. In plan A, the customer pays a monthly fee of $35 and then an additional 9 cents per minute of use. In Plan B, the customer pays a monthly fee of $55.70 and then an additional 6 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.

+4

Answers (1)

Know the Answer?

Harper Blair · Answer 1

Lesser than 6.9 minutes

Step-by-step explanation:

Let m represent the number of minutes of phone use with either plan A or plan B.

In plan A, the customer pays a monthly fee of $35 and then an additional 9 cents (9/100 = $0.09) per minute of use. This means that the total cost of m minutes would be

0.09m + 35

In Plan B, the customer pays a monthly fee of $55.70 and then an additional 6 cents (6/100 = $0.06) per minute of use. This means that the total cost of m minutes would be

0.06m + 55.70

Therefore, for the amounts of monthly phone use for which Plan A will cost less than Plan B, it becomes

0.09m + 35 < 0.06m + 55.70

0.09m - 0.06m < 55.70 - 35

0.03m < 20.7

m < 20.7/3

m < 6.9