Question
Brad has a solo performance in his orchestra's spring concert. Yesterday, he practiced his violin for 20 minutes. Today, Brad plans to practice even longer than yesterday.
Let t represent the length of time, in minutes, that Brad might practice today. 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 the length of time, in minutes, that Brad might practice today. 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 the story with an inequality, we know that Brad practiced for 20 minutes yesterday and wants to practice longer than that today.
Let \( t \) represent the length of time, in minutes, that Brad might practice today. Since he wants to practice longer than 20 minutes, we can express this with the following inequality:
\[
t > 20
\]
### Graphing the Inequality
1. **Plot the endpoint**: Start by plotting the point \( t = 20 \) on the horizontal number line.
2. **Open Circle**: Since the inequality is strict (greater than), we will use an open circle at 20 to indicate that 20 is not included in the solution set.
3. **Draw the ray**: From the open circle at 20, draw a ray extending to the right, indicating all values of \( t \) that are greater than 20.
### Summary
- The inequality that represents Brad's practice time is \( t > 20 \).
- The graph consists of an open circle at 20 and a ray extending to the right, representing all values greater than 20.
This visual representation indicates that any practice time \( t \) greater than 20 minutes satisfies the conditions of the problem.
Let \( t \) represent the length of time, in minutes, that Brad might practice today. Since he wants to practice longer than 20 minutes, we can express this with the following inequality:
\[
t > 20
\]
### Graphing the Inequality
1. **Plot the endpoint**: Start by plotting the point \( t = 20 \) on the horizontal number line.
2. **Open Circle**: Since the inequality is strict (greater than), we will use an open circle at 20 to indicate that 20 is not included in the solution set.
3. **Draw the ray**: From the open circle at 20, draw a ray extending to the right, indicating all values of \( t \) that are greater than 20.
### Summary
- The inequality that represents Brad's practice time is \( t > 20 \).
- The graph consists of an open circle at 20 and a ray extending to the right, representing all values greater than 20.
This visual representation indicates that any practice time \( t \) greater than 20 minutes satisfies the conditions of the problem.