Jill burns 100 calories per hour while sleeping, 300 calories per hour while walking, and 200 calories per hour at work. 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? O 133.3 calories/hr 166.67 calories/hr 200 calories/hr 233.67 calories/hr
Jill burns 100 calories per hour while sleeping, 300 calories per hour while walking, and 200 calories per hour at work. 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? O 133.3 calories/hr 166.67 calories/hr 200 calories/hr 233.67 calories/hr
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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