Calling Long Distance

     A popular commercial for long-distance telephone calls says their rate is just "7 per minute", thus being better than those other companies that charge 10 and 25.

     Recently there comes another commercial that says "our rate is just 3 per minute and 39 to connect". Sounds great, doesn't it? But is it?

     If you only needed to make a short call to someone, the first plan would actually be cheaper.

     Let's compare these two plans algebraically.

  1. What is the break-even point, i.e. the length of time for which the cost is the same for both plans? What would the amount be?

  2. How long would a customer have to talk so that she would be charged twice as much money for the first plan, as compared to the second one?


     Extra: When would the first plan be three times as high as the second?


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