Question
Fit and Fun Kids Gym has a new obstacle course challenge. Colin and his friend Leo raced each other through it. Colin completed the course in 11 minutes, but Leo won.
Let t represent the amount of time, in minutes, that it might have taken Leo to complete the course. 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 amount of time, in minutes, that it might have taken Leo to complete the course. 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 represent the scenario where Colin completed the obstacle course in 11 minutes and Leo completed it in a shorter time (since Leo won), we can express this relationship as an inequality.
Let \( t \) represent the time in minutes that it took Leo to complete the course. The appropriate inequality that models the story is:
\[
t < 11
\]
This means that Leo's time \( t \) is less than Colin's time of 11 minutes.
### Graphing the Inequality
1. **Draw a number line**: Draw a horizontal line and mark a point labeled "11".
2. **Open circle at 11**: Since the inequality is less than (not less than or equal to), you will use an open circle at 11 to indicate that 11 is not included in the solution set.
3. **Arrow pointing left**: Draw a ray (arrow) extending to the left of the open circle at 11 to indicate all times less than 11.
### Outcome
The graph visually represents the inequality \( t < 11 \) by showing all possible values of \( t \) (the time Leo took) that are less than 11 minutes.
Here is a summary of what the graph represents:
- Open circle at \( 11 \) (to show that 11 is not included).
- A ray extending to the left to show all values less than \( 11 \).
If you need to visualize this further with plotting tools, ensure the details for the open circle and direction are there to show the correct inequality.
Let \( t \) represent the time in minutes that it took Leo to complete the course. The appropriate inequality that models the story is:
\[
t < 11
\]
This means that Leo's time \( t \) is less than Colin's time of 11 minutes.
### Graphing the Inequality
1. **Draw a number line**: Draw a horizontal line and mark a point labeled "11".
2. **Open circle at 11**: Since the inequality is less than (not less than or equal to), you will use an open circle at 11 to indicate that 11 is not included in the solution set.
3. **Arrow pointing left**: Draw a ray (arrow) extending to the left of the open circle at 11 to indicate all times less than 11.
### Outcome
The graph visually represents the inequality \( t < 11 \) by showing all possible values of \( t \) (the time Leo took) that are less than 11 minutes.
Here is a summary of what the graph represents:
- Open circle at \( 11 \) (to show that 11 is not included).
- A ray extending to the left to show all values less than \( 11 \).
If you need to visualize this further with plotting tools, ensure the details for the open circle and direction are there to show the correct inequality.