Question

last year, emmas scout troop sold 504 boxes of cookies. this year, her troop set a goal to sell more boxes than last year.
let b represent the number of boxes emmas troop plans to sell this year. which inequality models the story?
graph the inequality that models the story.
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Analyze the problem statement

The problem states that this year's goal is to sell more boxes than last year. Last year, 504 boxes were sold. So, \(b\) (this year's number of boxes) must be greater than 504.
$$b>504$$

Step2: Graph the inequality

For \(b > 504\), on the number - line:

• Plot an open circle at \(b = 504\) (because 504 is not included in the solution set, since we want more than 504).
• Draw an arrow to the right of 504 (since all numbers greater than 504 are solutions).

Answer:

The inequality that models the story is \(b>504\). On the number - line, there is an open circle at 504 and an arrow pointing to the right.