Nora is training for a marathon. She can run at a constant rate of 4 miles in 28 minutes.

Elementary Algebra
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.175TI: The distance that Brad travels varies directly with the time spent traveling. Brad travelled 660...
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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**

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### 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**

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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.
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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