A gram of fat contains 9 dietary calories, whereas a gram of carbohydrates contains only 4.¹ (a) Write an equation relating the amount f, in grams, of fat and the amount c, in grams, of carbohydrates that one can eat if limited to a total of 2200 calories/day. = (b) The USDA recommends that calories from fat should not exceed 30% of all calories. What does this tell you about f? NOTE: Round your answer to the nearest integer. A 2200-calorie diet should include no more than about grams of fat.
A gram of fat contains 9 dietary calories, whereas a gram of carbohydrates contains only 4.¹ (a) Write an equation relating the amount f, in grams, of fat and the amount c, in grams, of carbohydrates that one can eat if limited to a total of 2200 calories/day. = (b) The USDA recommends that calories from fat should not exceed 30% of all calories. What does this tell you about f? NOTE: Round your answer to the nearest integer. A 2200-calorie diet should include no more than about grams of fat.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![### Dietary Fat and Carbohydrates in a 2200-Calorie Diet
A gram of fat contains 9 dietary calories, whereas a gram of carbohydrates contains only 4.^1
#### (a) Equation Relating Fat and Carbohydrates
Write an equation relating the amount \( f \), in grams, of fat and the amount \( c \), in grams, of carbohydrates that one can eat if limited to a total of 2200 calories/day.
\[ 9f + 4c = 2200 \]
#### (b) USDA Recommendations for Fat Intake
The USDA recommends that calories from fat should not exceed 30% of all calories. What does this tell you about \( f \)?
**NOTE:** Round your answer to the nearest integer.
A 2200-calorie diet should include no more than about \( \frac{0.30 \times 2200}{9} \approx 73 \) grams of fat.
---
^1 Source: Food and Nutrition Information Center, USDA, www.nal.usda.gov/fnic/Dietary/9dietary.html, accessed October 6, 2007.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeeca323-3b43-4b4c-a978-afa81230e85e%2Fa57fd020-fdb1-45ff-a71f-0f816bd7b355%2F8gq93hq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Dietary Fat and Carbohydrates in a 2200-Calorie Diet
A gram of fat contains 9 dietary calories, whereas a gram of carbohydrates contains only 4.^1
#### (a) Equation Relating Fat and Carbohydrates
Write an equation relating the amount \( f \), in grams, of fat and the amount \( c \), in grams, of carbohydrates that one can eat if limited to a total of 2200 calories/day.
\[ 9f + 4c = 2200 \]
#### (b) USDA Recommendations for Fat Intake
The USDA recommends that calories from fat should not exceed 30% of all calories. What does this tell you about \( f \)?
**NOTE:** Round your answer to the nearest integer.
A 2200-calorie diet should include no more than about \( \frac{0.30 \times 2200}{9} \approx 73 \) grams of fat.
---
^1 Source: Food and Nutrition Information Center, USDA, www.nal.usda.gov/fnic/Dietary/9dietary.html, accessed October 6, 2007.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 8 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
