Question
Brenna is buying 15 tomato plants for her garden. She uses a lot of cherry tomatoes when she cooks, but she wants a variety of tomato plants. Brenna plans to buy fewer than 7 cherry tomato plants.
Let c represent the number of cherry tomato plants Brenna might buy. 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 c represent the number of cherry tomato plants Brenna might buy. 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 situation with an inequality, we can express the number of cherry tomato plants \( c \) that Brenna might buy considering the condition that she wants fewer than 7 cherry tomato plants. This can be represented by the inequality:
\[
c < 7
\]
Additionally, since Brenna is buying a total of 15 tomato plants, the number of non-cherry tomato plants would be \( 15 - c \). However, since the inequality provided only needs to represent the number of cherry tomato plants, we will focus solely on \( c < 7 \).
**Graphing the inequality \( c < 7 \):**
1. **Identify the endpoint:** The inequality is \( c < 7 \), so 7 is the endpoint.
2. **Type of endpoint:** Since the inequality is strict (it uses "<" and not "≤"), we will use an open circle at 7.
3. **Direction of the ray:** The inequality indicates that \( c \) can take on values less than 7, meaning we will draw a ray extending to the left from the point where \( c = 7 \).
### Steps to Graph:
1. Plot an open circle at the point 7 on the c-axis.
2. Draw a ray that goes left from the open circle to indicate all values less than 7.
The completed graph would visually represent all possible values for \( c \), showing that Brenna can choose any number of cherry tomato plants less than 7.
\[
c < 7
\]
Additionally, since Brenna is buying a total of 15 tomato plants, the number of non-cherry tomato plants would be \( 15 - c \). However, since the inequality provided only needs to represent the number of cherry tomato plants, we will focus solely on \( c < 7 \).
**Graphing the inequality \( c < 7 \):**
1. **Identify the endpoint:** The inequality is \( c < 7 \), so 7 is the endpoint.
2. **Type of endpoint:** Since the inequality is strict (it uses "<" and not "≤"), we will use an open circle at 7.
3. **Direction of the ray:** The inequality indicates that \( c \) can take on values less than 7, meaning we will draw a ray extending to the left from the point where \( c = 7 \).
### Steps to Graph:
1. Plot an open circle at the point 7 on the c-axis.
2. Draw a ray that goes left from the open circle to indicate all values less than 7.
The completed graph would visually represent all possible values for \( c \), showing that Brenna can choose any number of cherry tomato plants less than 7.