**Title: Analyzing Ketchup Dispenser Usage Over Time** **Part 1 of 3** After filling the ketchup dispenser at the snack bar where she works, Kelley measures the level of ketchup during the day at different hourly intervals. Complete parts a to c. **Visual Explanation:** The image shows three condiment dispensers labeled as ketchup, mustard, and mayonnaise. The ketchup dispenser is marked with the following measurements: - At 5 hours, the level is \(11 \frac{7}{8}\) inches. - At 8 hours, the level is 10 inches. - At 11 hours, the level is \(8 \frac{3}{8}\) inches. **Tasks:** a. Assuming the ketchup is used at a constant rate, write a linear equation that can be used to determine the level of ketchup in the dispenser after \(x\) hours. Let \(y\) represent the level of ketchup in inches. (Type an equation.) **Resources:** - **Video** - **Textbook** - **Get More Help** Ensure you check your answer when ready.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Title: Analyzing Ketchup Dispenser Usage Over Time**

**Part 1 of 3**

After filling the ketchup dispenser at the snack bar where she works, Kelley measures the level of ketchup during the day at different hourly intervals. Complete parts a to c.

**Visual Explanation:**
The image shows three condiment dispensers labeled as ketchup, mustard, and mayonnaise. The ketchup dispenser is marked with the following measurements:
- At 5 hours, the level is \(11 \frac{7}{8}\) inches.
- At 8 hours, the level is 10 inches.
- At 11 hours, the level is \(8 \frac{3}{8}\) inches.

**Tasks:**

a. Assuming the ketchup is used at a constant rate, write a linear equation that can be used to determine the level of ketchup in the dispenser after \(x\) hours. Let \(y\) represent the level of ketchup in inches.

(Type an equation.) 

**Resources:**
- **Video**
- **Textbook**
- **Get More Help**

Ensure you check your answer when ready.
Transcribed Image Text:**Title: Analyzing Ketchup Dispenser Usage Over Time** **Part 1 of 3** After filling the ketchup dispenser at the snack bar where she works, Kelley measures the level of ketchup during the day at different hourly intervals. Complete parts a to c. **Visual Explanation:** The image shows three condiment dispensers labeled as ketchup, mustard, and mayonnaise. The ketchup dispenser is marked with the following measurements: - At 5 hours, the level is \(11 \frac{7}{8}\) inches. - At 8 hours, the level is 10 inches. - At 11 hours, the level is \(8 \frac{3}{8}\) inches. **Tasks:** a. Assuming the ketchup is used at a constant rate, write a linear equation that can be used to determine the level of ketchup in the dispenser after \(x\) hours. Let \(y\) represent the level of ketchup in inches. (Type an equation.) **Resources:** - **Video** - **Textbook** - **Get More Help** Ensure you check your answer when ready.
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