Chapter11: Graphs
Section11.1: Use The Rectangular Coordinate System
Problem 11.7TI: Plot each point: (4,-3) (4,3) (4,3) (-4,3)
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Nor his training for a marathon she can run at a Constant rate of 4 miles in 28 minutes write an equation to represent a total distance y
Nora can run in X minutes
![**Mathew, Kayleigh**
---
### Question 7
Nora is training for a marathon. She can run at a constant rate of 4 miles in 28 minutes.
**A. Write an equation to represent the total distance \(y\) Nora can run in \(x\) minutes.**
\[ y = \frac{7}{x} \] (This part is incorrect in the image; the correct equation should be \( y = \frac{4}{28}x \) or simplified as \( y = \frac{1}{7}x \).)
**B. What is the slope of the equation you wrote?**
\[ \text{slope is 7} \]
(This part is incorrect based on the correct equation; the correct slope should be \(\frac{1}{7}\).)
**C. What does the number represent?**
\[ \text{she can run one mile is seven min} \]
(This part needs to be reframed based on the corrected information; the slope represents the rate at which Nora runs per minute.)
**Score: 2/3**
---
Note: The answer in the image for part A, \(y = 7x\), is incorrect because the rate from the problem statement is miscalculated. The corrected approach would consider that \( \text{Distance} = \text{Rate} \times \text{Time} \). With Nora running 4 miles in 28 minutes, the rate should be \(\frac{4 \, \text{miles}}{28 \, \text{minutes}} = \frac{1}{7} \, \text{miles per minute}\). Therefore, the correct equation is \( y = \frac{1}{7}x \). Consequently, the slope is \(\frac{1}{7}\) and it represents the rate in miles per minute.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce94b416-ddef-4057-bd84-c9ff2276a6cd%2Fee0a7a19-af79-47ef-adde-97705d220b47%2Feb4zr8pa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathew, Kayleigh**
---
### Question 7
Nora is training for a marathon. She can run at a constant rate of 4 miles in 28 minutes.
**A. Write an equation to represent the total distance \(y\) Nora can run in \(x\) minutes.**
\[ y = \frac{7}{x} \] (This part is incorrect in the image; the correct equation should be \( y = \frac{4}{28}x \) or simplified as \( y = \frac{1}{7}x \).)
**B. What is the slope of the equation you wrote?**
\[ \text{slope is 7} \]
(This part is incorrect based on the correct equation; the correct slope should be \(\frac{1}{7}\).)
**C. What does the number represent?**
\[ \text{she can run one mile is seven min} \]
(This part needs to be reframed based on the corrected information; the slope represents the rate at which Nora runs per minute.)
**Score: 2/3**
---
Note: The answer in the image for part A, \(y = 7x\), is incorrect because the rate from the problem statement is miscalculated. The corrected approach would consider that \( \text{Distance} = \text{Rate} \times \text{Time} \). With Nora running 4 miles in 28 minutes, the rate should be \(\frac{4 \, \text{miles}}{28 \, \text{minutes}} = \frac{1}{7} \, \text{miles per minute}\). Therefore, the correct equation is \( y = \frac{1}{7}x \). Consequently, the slope is \(\frac{1}{7}\) and it represents the rate in miles per minute.
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 9 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University