Question

Mallory wants to buy a new window air conditioning unit. The cost for the unit is $329.99. If she plans to run the unit three months out of the year for an annual operating cost of $108.78, which function models the cost per year over the lifetime of the unit, C(n), in terms of the number of years, n, that she owns the air conditioner?

Answer 1

The function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Cost for the unit = $329.99

Annual operating cost = $108.78

C(n) represents the cost per year

n represents the number of years

The function can be modelled:

C(n) = (329.99 + 108.78n)/n

Thus, the function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.

Learn more about the function here:

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