Question

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

Answer 1

Answer:

5x – 260

i hope this helps you

Answer 2

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:

$Profit = 5x - 260$