Question

A company produces custom greeting cards. The cost C (in dollars) of producing n greeting cards per month can be modeled by the function C = 440 + 1.25n. Find the inverse of the model.

Answer 1

The inverse of the model is n = (C - 440) / 1.25.

Step-by-step explanation:

The given function C = 440 + 1.25n represents the cost C, in dollars, of producing n greeting cards per month. To find the inverse of the model, we need to solve the equation for n in terms of C.

To do this, we can start by subtracting 440 from both sides of the equation: C - 440 = 1.25n

Then, we divide both sides by 1.25 to isolate n: n = (C - 440) / 1.25

Therefore, the inverse of the model is n = (C - 440) / 1.25.

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