Math word problem help needed

Mathematics
Tutor: None Selected Time limit: 1 Day

The cell phone company offers the following plans.

Plan A: 450 minutes: costs 49.99: Overage $0.10 per minute

Plan B: 800 Minutes: costs $62.99: Overage $0.25 per minute

Which Plan is that best if you do NOT go over your minutes?

What would be the better plan if you went over by 200 minutes?

Oct 22nd, 2015

Thank you for the opportunity to help you with your question!

If you do NOT go over your minutes then:

Plan A = 49.99/450 = 11.1 cents per minute

Plan B = 62.99/800 =  7.9 cents per minute

So Plan B is the better plan.

If you went over by 200 minutes then:

Plan A = 49.99 + 200(0.1) = 49.99 + 20 = 69.99

69.99/650 = 10.8 cents per minute

Plan B = 62.99 + 200(.25) = 62.99 + 50 = 112.99

112.99/1000 = 11.3 cents per minute

So, Plan A would be the better plan.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 22nd, 2015

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