To date, this year, Company XYZ has sold 525 units. They sell units at an average rate of 15 per week. The company wants to sell more than 750 units this year. Which of the following inequalities could be used to solve for x, the number of weeks necessary to reach the company's year-end goal?

Question

To date, this year, Company XYZ has sold 525 units. They sell units at an average rate of 15 per week. The company wants to sell more than 750 units this year. Which of the following inequalities could be used to solve for x, the number of weeks necessary to reach the company's year-end goal?
 A. 
15x > 1,275
 B. 
15x + 525 > 750
 C. 
15x - 525 > 75
 D. 
15x > 750

GPT-4o mini · Answer

To determine the number of weeks $ x $ necessary for Company XYZ to reach their goal of selling more than 750 units, we first set up an equation based on the information provided: 1. The company has already sold 525 units. 2. They sell an average of 15 units per week. After selling for $ x $ weeks, the total units sold will be $ 525 + 15x $. The company wants to sell more than 750 units, so we can set up the inequality: $$ 525 + 15x > 750 $$ This matches option **B**. So, the correct inequality that could be used to solve for $ x $ is: **B.** $ 15x + 525 > 750 $