Question

You are decorating for the North Forney Basketball game. You want to decorate with blue (b) and white (w) balloons. You need at least 500 total balloons to fill the space and you want no more than 200 white balloons. Which system of inequalities represents the situation?

a) b + w ≥ 500, w ≤ 200
b) 500 - w ≥ b, b + w ≤ 200
c) b - w ≥ 200, w ≤ 500
d) b + w ≥ 500, b + w ≤ 200

Answer 1

The correct system of inequalities is b + w >= 500, w <= 200. The correct answer is option a) b + w ≥ 500, w ≤ 200.

Step-by-step explanation:

The correct system of inequalities that represents the situation is:

b + w ≥ 500 (total balloons should be at least 500)

w ≤ 200 (no more than 200 white balloons)

This system of inequalities ensures that the total number of balloons (b + w) is greater than or equal to 500 and the number of white balloons (w) is less than or equal to 200. This means that you can have any number of blue balloons (b) as long as the total number of balloons is adequate and the number of white balloons is within the desired limit.