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?

100c+50c

100c+ 50m

100m +50cm

150cm

The one-time setup fee is $100 per customer, so for c customers, the total setup fee is 100c.

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.

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

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

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