Problem 668

Media Services charges $40 for a phone and $20/month for its economy plan. Find a linear model that determines the total cost, C(t), of operating a Media Services phone for t months.

Use the model to find the total cost for 4 months of service.

 

Solution:-

 

Formulate a linear model that can be used to determine the total cost, C(t), of operating a Media Services phone for t months.

The total cost involves the initial purchase of a phone plus a monthly fee of %20. The initial purchase cost of %40 is a one-time charge which is a constant term in the model.

The monthly fee is a variable cost based on the number of months of months of service. Remember that t represents the number of months of service for a phone.

The model equation would be C(t) = 20t + 40.

To find the total cost for 4 months of service, substitute 4 for t and evaluate c(4).

C(4) = 20(4) + 40

C(4) = 120

Therefore, the cost of operating a  phone for 4 months is $120.

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