A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200

B. y= -x^2 + 50x - 300

Step-by-step explanation:

Options given

A. y^2=4x^2 - 100

B. y= -x^2 + 50x - 300

C. x= -y^2 - 400

D. x^2= -6y^2 + 200

We are to find profits (y) function in thousands of dollars if the company sells x items.

We will use elimination method to eliminate the wrong options above in order to find the correct answer

Option A. y^2= 4x^2 - 100 is used to find the square of the profit function

Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function

Option C. x= -y^2 - 400 is for the calculation of the items x sold

Option D. x^2= -6y^2 + 200 is to find items x sold squared.

Since, we are required to find the profit (y) function, option A, C and D will be eliminated.

We are left with option B which is the correct answer to the question.

The weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2 + 50x - 300