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

Profit is given by;

P = Revenue - Cost

P= 3x2 + 4x – 60 - (3x2 – x + 200)

Opening the bracket

P = 3x2 + 4x – 60 - 3x2 + x - 200

Collecting the like terms:

P = 3x2 - 3x2 + 4x + x - 60 - 200

P = 5x - 260

So, the correct expression for the profit is:

5x - 260

Answer 2

Answer:

Step-by-step explanation:

Profit is given by;

P = Revenue - Cost

P= 3x2 + 4x – 60 - (3x2 – x + 200)

Opening the bracket

P = 3x2 + 4x – 60 - 3x2 + x - 200

Collecting the like terms:

P = 3x2 - 3x2 + 4x + x - 60 - 200

P = 5x - 260

So, the correct expression for the profit is:

5x - 260