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The monthly revenue, in dollars, from the sales of a gaming console at one store is represented by the function below, where x is the number of gaming consoles sold.

R(x) = -0.45x^2 + 160x + 412

The monthly cost, in dollars, for the store to supply their patrons with x number of the gaming consoles is given by the function below.

C(x) = 205x + 300

Determine the function that represents the total monthly profit from the gaming consoles.

The monthly revenue in dollars from the sales of a gaming console at one store is represented by the function below where x is the number of gaming consoles sol class=

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Blitztiger
Revenue is the gross amount brought in by sales. So if we subtract the costs, we get the net amount, which is the profit. Therefore, if monthly revenue is R(x) = -0.45x^2 + 160x + 412, and monthly cost is C(x) = 205x + 300, then profit P(x):
P(x) = R(x) - C(x) = -0.45x^2 + (160x - 205x) + (412 - 300)
P(x) = -0.45x^2 - 45x + 112
This fits the choices (-0.45, -45, 112)