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The total cost (C) (in dollars) of purchasing and maintaining a piece of equipment for (x) years is represented by the following function (C(x)). If the equipment is used for 5 years, what does (C(5)) represent?

a) The total cost for 5 years
b) The maintenance cost for 5 years
c) The purchase cost after 5 years
d) The depreciation cost after 5 years

1 Answer

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Final answer:

C(5) represents the total cost of purchasing and maintaining a piece of equipment for 5 years. It includes both purchase and maintenance costs accumulated over that period. The correct answer is (a).

Step-by-step explanation:

The student is asking about the interpretation of the function C(x), which represents the total cost of purchasing and maintaining a piece of equipment for x years. When the function is called with a specific value, such as C(5), it represents the total cost of purchasing and maintaining the equipment for that many years. In this case, for 5 years. The correct answer is (a) The total cost for 5 years, as this includes both the initial purchase cost and the accumulated maintenance costs over the specified period.

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