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The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.


If the profit is the difference between the revenue and the cost, what expression represents the profit?


3x – 260

3x + 140

5x – 260

5x + 140

Verified Answer :

carlosego

For this case we have the following quadratic functions:

Revenue: \(3x ^ 2 + 4x - 60
\)

Cost: \(3x ^ 2 - x + 200
\)

Then, we observe that the profit is given by the following mathematical relationship:

\(Profit = Revenue - Cost
\)

Substituting values we have:


\(Profit = (3x ^ 2 + 4x - 60) - (3x ^ 2 - x + 200)
\)

Making the corresponding calculations we have:

\(Profit = x ^ 2 (3-3) + x (4 + 1) + (-60-200)

Profit = 5x - 260
\)

Answer:

An expression that represents the profit is:

\(Profit = 5x - 260\)

moresbbg

Answer:

5x – 260

i hope this helps you

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