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 use the variable \( p \) to represent the number of potatoes Mandy is using. Given that she plans to use 25 or more potatoes, we can represent this with the following inequality:

\[ p \geq 25 \]

Graphing the Inequality

1. Identify the endpoint: The endpoint is at \( p = 25 \).
2. Closed or Open Circle: Since the inequality is "greater than or equal to," we will use a closed circle at 25.
3. Direction of the Ray: The inequality indicates that \( p \) can take any number greater than or equal to 25, so we will draw a ray starting from 25 and extending to the right.

Here's how you would graph the inequality:

• Plot a closed circle at \( (25, 0) \) on the horizontal axis.
• Draw a ray extending to the right from \( (25, 0) \), indicating all the values where \( p \) is greater than 25.

This visual representation allows us to see all possible values of \( p \) that satisfy the inequality \( p \geq 25 \).