Mandy is making potato salad for the Fourth of July. She needs to make enough to serve 22 people. Mandy plans to use 25 or more potatoes.

Question

Let p represent the number of potatoes that Mandy might use. 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.

Answer 1

To model the story with an inequality, we can say that the number of potatoes \( p \) Mandy plans to use needs to be 25 or more. Therefore, the inequality that represents this situation is:

\[ p \geq 25 \]

Graphing the Inequality

1. Identify the endpoint: The endpoint corresponds to \( p = 25 \).

2. Determine whether the endpoint is closed or open: Since the inequality is "greater than or equal to" (≥), we will use a closed dot at 25 to indicate that Mandy can use 25 potatoes.

3. Select the direction of the ray: The inequality \( p \geq 25 \) means that \( p \) can take any value greater than 25, so we draw a ray pointing to the right from 25.

Steps to draw the graph:

• Plot a closed dot at 25 on your number line.
• Draw a ray that extends to the right from 25, indicating that \( p \) can be any value greater than 25.

This visually represents that Mandy can use 25 potatoes or any number greater than that.