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 model the story of Colin and Leo, we know that Colin completed the obstacle course in 11 minutes. Since Leo won the race, it means he must have completed the course in less time than Colin.
We can represent the time it took Leo to complete the course as \( t \). Since Leo's time was less than Colin's, we can write the inequality as:
\[ t < 11 \]
This means that \( t \) (the time it took Leo) is less than 11 minutes.
### Graphing the Inequality
1. **Plot the point**: Start by plotting the point 11 on a number line.
2. **Closed or open circle**: Since the inequality is \( t < 11 \) (and not \( t \leq 11 \)), you will use an **open circle** at 11 to indicate that 11 is not included in the solution set.
3. **Draw the ray**: Draw a ray that extends to the left of the open circle at 11, which represents all the values less than 11.
### Summary of the Graph
- Open circle on 11.
- A ray extending left from the circle to indicate all values less than 11.
This accurately represents the inequality \( t < 11 \) on a number line, illustrating that Leo's time was less than Colin's time.
We can represent the time it took Leo to complete the course as \( t \). Since Leo's time was less than Colin's, we can write the inequality as:
\[ t < 11 \]
This means that \( t \) (the time it took Leo) is less than 11 minutes.
### Graphing the Inequality
1. **Plot the point**: Start by plotting the point 11 on a number line.
2. **Closed or open circle**: Since the inequality is \( t < 11 \) (and not \( t \leq 11 \)), you will use an **open circle** at 11 to indicate that 11 is not included in the solution set.
3. **Draw the ray**: Draw a ray that extends to the left of the open circle at 11, which represents all the values less than 11.
### Summary of the Graph
- Open circle on 11.
- A ray extending left from the circle to indicate all values less than 11.
This accurately represents the inequality \( t < 11 \) on a number line, illustrating that Leo's time was less than Colin's time.