Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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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.
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