SOLUTION: ANASTACIA HAS A CHOICE BETWEEN TWO CELL PHONE PLANS, ONE PLAN HAS UNLIMITED MINUTES FOR A FLAT FEE OF $60 PER MONTH. THE OTHER PLAN IS $15 PER MONTH PLUS 30 CENTS. ANASTACIA CHOOSE

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Question 30444: ANASTACIA HAS A CHOICE BETWEEN TWO CELL PHONE PLANS, ONE PLAN HAS UNLIMITED MINUTES FOR A FLAT FEE OF $60 PER MONTH. THE OTHER PLAN IS $15 PER MONTH PLUS 30 CENTS. ANASTACIA CHOOSES THE PLAN WITH THE FLAT FEE OF $60 PER MONTH SO HOW MANY MINUTES DOES ANASTACIA PLAN ON USING HER PHONE EVERY MONTH?
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call X to the number of minutes Anastacia plans to use. If Anastacia takes the other plan, then the total fee she will pay is 15+%2B+0.30X, because she will pay $15 plus $0.30 per minute.
Anastacia has chosen the $60 flat fee plan. That is because she expected this plan to be cheaper then the other one. So we have the inequality:
60+%3C+15+%2B+0.30X
So, solving for X,
60-15%3C0.30X
45%3C0.30X
45%2F0.30%3CX
150%3CX
We conclude that she is planning to use more then 150 minutes. If she planned to use less than that, then she should have chosen the non-flat plan