Question

The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?
A. x2 – 2y > 5000

2x + 5y < 1000

B. x2 – 2y > 5000

2x + 5y ≤ 1000

C. x2 – 2y ≥ 5000

2x + 5y < 1000

D. x2 – 2y ≤ 5000

2x + 5y ≤ 1000

Answer 1

The system of equations that represents the situation is given by:

C. x² – 2y ≥ 5000, 2x + 5y < 1000

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:

x² – 2y ≥ 5000

The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:

2x + 5y < 1000

This means that option C is correct.

More can be learned about a system of equations at brainly.com/question/24342899