Question

You have a cell phone plan that allows for unlimited calling and 1000 text messages for $21.25. Every text message for 1000 text messages will cost $0.10 per text. Your parents will only pay up to $60 for you phone bill.
A) Write an inequality to model this situation. Be sure to define your variables.
Answer: 60-0.10y > 21.25

B) How many text messages could you send each month?
[Insert your answer here]

Answer 1

Answer:

A) 21.25 + 0.1m <= 60

B) 387

Step-by-step explanation:

I think the problem means to say that the first 1000 text messages are included in the $21.25 plan, and messages above the included 1000 cost $0.10 each.

A)

Let m = number of text messages above 1000.

0.1m is the cost of the messages past the included 1000.

The cost of the plan ($21.25) plus the cost of the messages above 1000, must cost up to $60.

21.25 + 0.1m <= 60

B)

21.25 + 0.1m <= 60

0.1m <= 38.75

m <= 38.75/0.1

m <= 387.5

Answer: 387