The graph of a linear function is shown. 5 4 3 2 4 --5-4-3-2-1 1 -2 19 3 4 ? 2 3 4 5 X Which word describes the slope of the line? positive negative zero O undefined
The graph of a linear function is shown. 5 4 3 2 4 --5-4-3-2-1 1 -2 19 3 4 ? 2 3 4 5 X Which word describes the slope of the line? positive negative zero O undefined
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.3: Using Intercepts
Problem 19E
Related questions
Question
Transcribed Image Text:### The Graph of a Linear Function
**Graph Explanation:**
The provided image shows a graph of a linear function represented on a Cartesian coordinate system. The x-axis (horizontal) and y-axis (vertical) are marked with values ranging from -5 to 5. The linear function is depicted as a horizontal line at y = -2, crossing the y-axis at -2.
**Question and Options:**
Adjacent to the graph, a question is posed: "Which word describes the slope of the line?"
The possible answers are provided as multiple-choice options:
- positive
- negative
- zero
- undefined
### Determining the Slope
In the given graph, the horizontal line remains constant at y = -2. This means there is no vertical change as the x-value changes. Therefore, the slope of this line is zero.
**Correct Answer:**
- zero
![**Balloon Hat Creations: Analyzing the Graph**
A balloon artist creates balloon hats for children at a store’s grand opening. The graph below illustrates the relationship between the number of balloons remaining, denoted as \( y \), after creating \( x \) hats.
### Graph Description:
- **Title**: "Balloon Hat Creations"
- **X-Axis (Horizontal axis)**: Represents the number of hats created (\( x \)), ranging from 0 to 100.
- **Y-Axis (Vertical axis)**: Represents the number of balloons remaining (\( y \)), ranging from 0 to 500.
- The graph shows a straight line starting at the point (0, 500) and slanting downwards to about (90, 0).
The key features of the graph are:
1. **Linear Relationship**: The relationship between the number of created hats and the remaining balloons is linear.
2. **Negative Slope**: The line slopes downward from left to right, indicating that the number of remaining balloons decreases as the number of hats created increases.
### Question:
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select **three** options:
- [ ] positive slope
- [x] negative slope
- [x] constant slope
- [ ] increasing function
- [x] decreasing function
**Explanation**:
- **Negative Slope**: The line descends from left to right.
- **Constant Slope**: The rate of decrease (slope) is constant.
- **Decreasing Function**: The value of \( y \) decreases as \( x \) increases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8013d441-5946-4d9d-b85b-992de95a8487%2Fc1ad04b4-885f-4bd7-8981-a497463088a7%2Fotjrupb_processed.png&w=3840&q=75)
Transcribed Image Text:**Balloon Hat Creations: Analyzing the Graph**
A balloon artist creates balloon hats for children at a store’s grand opening. The graph below illustrates the relationship between the number of balloons remaining, denoted as \( y \), after creating \( x \) hats.
### Graph Description:
- **Title**: "Balloon Hat Creations"
- **X-Axis (Horizontal axis)**: Represents the number of hats created (\( x \)), ranging from 0 to 100.
- **Y-Axis (Vertical axis)**: Represents the number of balloons remaining (\( y \)), ranging from 0 to 500.
- The graph shows a straight line starting at the point (0, 500) and slanting downwards to about (90, 0).
The key features of the graph are:
1. **Linear Relationship**: The relationship between the number of created hats and the remaining balloons is linear.
2. **Negative Slope**: The line slopes downward from left to right, indicating that the number of remaining balloons decreases as the number of hats created increases.
### Question:
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select **three** options:
- [ ] positive slope
- [x] negative slope
- [x] constant slope
- [ ] increasing function
- [x] decreasing function
**Explanation**:
- **Negative Slope**: The line descends from left to right.
- **Constant Slope**: The rate of decrease (slope) is constant.
- **Decreasing Function**: The value of \( y \) decreases as \( x \) increases.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill