In the context of energy balance, approximately how much body fat (in pounds) is equivalent to 400 kcal, assuming $3500\mathrm{kcal}=1\mathrm{lb}$ of body fat?

• A. About $0.11\mathrm{lb}$ of body fat
• B. About $1.1\mathrm{lb}$ of body fat
• C. About $0.9\mathrm{lb}$ of body fat
• D. About $3.5\mathrm{lb}$ of body fat

Answer: (A)

Verified step by step guidance

1. Understand the relationship between calories and body fat: 3500 kcal is approximately equivalent to 1 pound of body fat.
2. Set up a proportion to find how many pounds of body fat correspond to 400 kcal using the formula: \(\text{Body fat (lb)} = \frac{\text{Calories}}{3500}\).
3. Substitute the given calorie value into the formula: \(\text{Body fat (lb)} = \frac{400}{3500}\).
4. Simplify the fraction to express the amount of body fat in pounds.
5. Interpret the result to understand how much body fat corresponds to 400 kcal based on the energy balance concept.