Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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### Daily Calorie Burn Calculation

Jill burns 100 calories per hour while sleeping, 300 calories per hour while walking, and 200 calories per hour at work.

**Problem Statement:**
If in a typical day Jill spends 7 hours sleeping, 2 hours walking, and 6 hours working, what is her average calories burned for those hours?

**Options:**

- 133.3 calories/hr
- 166.67 calories/hr
- 200 calories/hr
- 233.67 calories/hr

### Explanation:

To solve this, we need to find the total calories burned and then divide by the total number of hours.

1. **Calculate the total calories burned:**

   - **Sleeping:** 7 hours × 100 calories/hour = 700 calories
   - **Walking:** 2 hours × 300 calories/hour = 600 calories
   - **Working:** 6 hours × 200 calories/hour = 1200 calories

2. **Sum of calories burned:**
   - Total calories = 700 calories + 600 calories + 1200 calories = 2500 calories

3. **Total hours:**
   - Total hours = 7 hours (sleeping) + 2 hours (walking) + 6 hours (working) = 15 hours

4. **Average calories burned per hour:**
   - Average calories/hour = Total calories / Total hours
   - Average calories/hour = 2500 calories / 15 hours
   - Average calories/hour = 166.67 calories/hour

### Correct Answer:
- **166.67 calories/hr**
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Transcribed Image Text:### Daily Calorie Burn Calculation Jill burns 100 calories per hour while sleeping, 300 calories per hour while walking, and 200 calories per hour at work. **Problem Statement:** If in a typical day Jill spends 7 hours sleeping, 2 hours walking, and 6 hours working, what is her average calories burned for those hours? **Options:** - 133.3 calories/hr - 166.67 calories/hr - 200 calories/hr - 233.67 calories/hr ### Explanation: To solve this, we need to find the total calories burned and then divide by the total number of hours. 1. **Calculate the total calories burned:** - **Sleeping:** 7 hours × 100 calories/hour = 700 calories - **Walking:** 2 hours × 300 calories/hour = 600 calories - **Working:** 6 hours × 200 calories/hour = 1200 calories 2. **Sum of calories burned:** - Total calories = 700 calories + 600 calories + 1200 calories = 2500 calories 3. **Total hours:** - Total hours = 7 hours (sleeping) + 2 hours (walking) + 6 hours (working) = 15 hours 4. **Average calories burned per hour:** - Average calories/hour = Total calories / Total hours - Average calories/hour = 2500 calories / 15 hours - Average calories/hour = 166.67 calories/hour ### Correct Answer: - **166.67 calories/hr**
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