Question

To date, this year, Company XYZ has sold 600 units. They sell units at an average rate of 20 per week. The company wants to sell more than 1,000 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. 20x > 1,600 B. 20x + 600 > 1,000 C. 20x > 1,000 D. 20x - 600 > 1,000

Answer 1

The answer is B

Answer 2

B. 20x + 600 > 1,000.

Explanation:

Company XYZ has already sold 600 units. They will sell additional units at 20 per week. They want to sell more than 1,000 units.

We can use "x" to represent the number of weeks it will take for the company to sell more than 1,000 units.

Their rate will be 20x (20 units per week). They have already sold 600 units, so we have the expression, 20x + 600. That quantity needs to be MORE THAN 1,000, so we will use the > sign. That needs to be more than 1,000, so we put 1,000 to the right of the > sign.

That leaves us with: B. 20x + 600 > 1,000.

Hope this helps!