Question
Rosa and her brother, Ruben, are swimming in the pool. They want to know who can stay underwater the longest without coming up for air. Rosa holds her breath for 13 seconds, but Ruben holds his breath longer.
Let t represent how long, in seconds, Ruben might hold his breath. 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 t represent how long, in seconds, Ruben might hold his breath. 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
Answered by
GPT-4o mini
To represent the situation mathematically, we know that Ruben holds his breath longer than Rosa, who holds her breath for 13 seconds. We can model this with the following inequality:
\[ t > 13 \]
Where \( t \) is the number of seconds Ruben can hold his breath.
### Graphing the Inequality
1. **Identify the endpoint**: Since the inequality is \( t > 13 \), we will place an open circle (or an open dot) at \( t = 13 \) on a number line. This signifies that 13 is not included in the solution (Ruben holds his breath longer than 13 seconds).
2. **Direction of the ray**: Since \( t > 13\), we will draw a ray to the right of the open circle, indicating that the values of \( t \) can be any number greater than 13.
### Steps for Graphing:
- Draw a horizontal number line.
- Mark the point 13 on the number line.
- Place an open circle at 13.
- Draw an arrow extending to the right from the open circle, indicating that \( t \) can take any value greater than 13.
This visual representation shows that Ruben can hold his breath for 13 seconds or any longer duration.
\[ t > 13 \]
Where \( t \) is the number of seconds Ruben can hold his breath.
### Graphing the Inequality
1. **Identify the endpoint**: Since the inequality is \( t > 13 \), we will place an open circle (or an open dot) at \( t = 13 \) on a number line. This signifies that 13 is not included in the solution (Ruben holds his breath longer than 13 seconds).
2. **Direction of the ray**: Since \( t > 13\), we will draw a ray to the right of the open circle, indicating that the values of \( t \) can be any number greater than 13.
### Steps for Graphing:
- Draw a horizontal number line.
- Mark the point 13 on the number line.
- Place an open circle at 13.
- Draw an arrow extending to the right from the open circle, indicating that \( t \) can take any value greater than 13.
This visual representation shows that Ruben can hold his breath for 13 seconds or any longer duration.