Question
Last year, Gina planted 9 tomato plants in her garden and made pasta sauce with the tomatoes she grew. Gina wants to do it again this year, so she plans to plant at least as many tomato plants as she did last year.
Let t represent the number of tomato plants Gina might plant this year. 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 number of tomato plants Gina might plant this year. 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 Gina's planting plans with an inequality, we need to reflect the condition that she wants to plant at least as many tomato plants as she did last year. Since she planted 9 tomato plants last year, we can express this with the following inequality:
\[ t \geq 9 \]
This reads as "the number of tomato plants \( t \) is greater than or equal to 9."
### Graphing the Inequality:
1. **Draw a horizontal number line** to represent the number of tomato plants.
2. **Plot the number 9** on the number line.
3. Since the inequality is \( t \geq 9 \), we will use a **closed circle** at 9 (this indicates that 9 is included in the values of \( t \)).
4. **Shade to the right** of the closed circle to indicate all values greater than 9 are included in the solution.
### Summary of Key Points:
- **Inequality**: \( t \geq 9 \)
- **Graph**: Closed circle at 9 and shading to the right.
If you follow these steps, you will create an appropriate visual representation of the inequality that models Gina's tomato planting plans.
\[ t \geq 9 \]
This reads as "the number of tomato plants \( t \) is greater than or equal to 9."
### Graphing the Inequality:
1. **Draw a horizontal number line** to represent the number of tomato plants.
2. **Plot the number 9** on the number line.
3. Since the inequality is \( t \geq 9 \), we will use a **closed circle** at 9 (this indicates that 9 is included in the values of \( t \)).
4. **Shade to the right** of the closed circle to indicate all values greater than 9 are included in the solution.
### Summary of Key Points:
- **Inequality**: \( t \geq 9 \)
- **Graph**: Closed circle at 9 and shading to the right.
If you follow these steps, you will create an appropriate visual representation of the inequality that models Gina's tomato planting plans.