Question
Starglow Seeker is Katie's favorite game to play at the arcade. Katie wants to beat the game's high score. To reach her goal, she needs to earn more than 186 stars.
Let s represent the number of stars Katie should try to earn. 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.
Let s represent the number of stars Katie should try to earn. 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.
Answers
GPT-4o mini
To model Katie's goal of earning more than 186 stars, we can write the inequality:
\[ s > 186 \]
This inequality indicates that the number of stars \( s \) that Katie needs to earn must be greater than 186.
### Graphing the Inequality
1. **Plotting the Endpoint**: Since the inequality is greater than (not equal to), we will represent 186 with an **open circle** on the number line. This indicates that 186 is not included in the solution.
2. **Drawing the Ray**: From the open circle at 186, draw a ray extending to the right (to represent all values greater than 186). The ray indicates that Katie can earn any number of stars greater than 186.
### Summary of the Graph
- Open circle at 186 (not including 186)
- Ray extending right from 186, indicating all values greater than 186.
Please note that I cannot create visual graphics, but you can visualize or draw it based on the instructions above.
\[ s > 186 \]
This inequality indicates that the number of stars \( s \) that Katie needs to earn must be greater than 186.
### Graphing the Inequality
1. **Plotting the Endpoint**: Since the inequality is greater than (not equal to), we will represent 186 with an **open circle** on the number line. This indicates that 186 is not included in the solution.
2. **Drawing the Ray**: From the open circle at 186, draw a ray extending to the right (to represent all values greater than 186). The ray indicates that Katie can earn any number of stars greater than 186.
### Summary of the Graph
- Open circle at 186 (not including 186)
- Ray extending right from 186, indicating all values greater than 186.
Please note that I cannot create visual graphics, but you can visualize or draw it based on the instructions above.