Question

Colton is an artist and sells paintings at a local café. When he sells x paintings, his profit can be represented by the function P(x) = −200 + 35x. What is Colton's profit after selling 3 paintings? −$105

Answer 1

Colton's profit function is P(x) = -200 + 35x. After selling 3 paintings, his profit is calculated by substituting x with 3, resulting in P(3) = -95 dollars.

Step-by-step explanation:

The student question pertains to the profit function P(x) for Colton, an artist, which is given by P(x) = -200 + 35x. To calculate Colton's profit after selling 3 paintings, we substitute x with 3 in the profit function.

Using the profit function, the calculation would be as follows:

1. Substitute x with 3: P(3) = -200 + 35(3).
2. Multiply 35 by 3: P(3) = -200 + 105.
3. Add -200 and 105: P(3) = -95.

Therefore, Colton's profit after selling 3 paintings would be -95 dollars.