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A phone company charges its customers $50 for the first 500 minutes used each month. For any additional minutes used over the 500, the customer is charged an additional $.10 per minute. Find the piecewise function that describes this situation.

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Adioabiolaid

We need to find the piecewise function for the situation

The piecewise function is C(x) = 50 + 0.10(x + 500)

Charge for 500 minutes = $50

Charge per additional minutes = $.10

Let

x = total minutes

C(x) = total cost

The piecewise function:

Total cost = cost for 500 minutes + additional cost per minutes (total minutes - 500 minutes)

C(x) = 50 + 0.10(x - 500)

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