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An internet service provider charges a onetime setup fee of $100 and $50 each month for service. If c customers join at the same time and are on the service for m months, which of the following expressions represents the total amount, in dollars, the provider has charged these customers?
  1. 100c+50c
  2. 100c+ 50m
  3. 100m +50cm
  4. 150cm
Explanation

To determine the total amount charged by the internet service provider, we need to consider both the one-time setup fee and the monthly service fee for each customer.

  1. The one-time setup fee is $100 per customer, so for c customers, the total setup fee is .
  2. The monthly service fee is $50 per customer. For m months, the total service fee per customer is . Thus, for c customers, the total service fee is .

Now, we can combine these two components to get the total charge:


text{Total Amount} = text{Setup Fee} + text{Service Fee} = 100c + 50cm

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