The RDA for protein for this individual is approximately 56 grams per day and in theory, the individual would lose approximately 2.2 pounds in 4 weeks.
Let's calculate the daily energy/calorie needs for the individual step by step:
1. Basal Metabolic Rate (BMR):
BMR = 1.0 kcal/kg body weight per hour
BMR = 1.0 kcal/kg/hour * 70 kg = 70 kcal/hour
2. Activity Level:
Moderate activity level is 50% added to BMR.
Activity = BMR + (0.5 * BMR) = 1.5 * BMR
Activity = 1.5 * 70 kcal/hour = 105 kcal/hour
3. Gain or Loss:
The individual is losing weight, which means we need to subtract calories.
Gain or Loss = Subtract 500 kcal/day
4. Total Energy Expenditure (TEE):
TEE = (BMR + Activity) - Gain or Loss
TEE = (105 kcal/hour) - 500 kcal/day
Now, let's calculate the total energy intake for the individual:
5. Total Energy Intake:
Total Energy Intake = TEE + Thermic Effect of Food (TEF)
TEF is typically estimated to be around 10% of the TEE:
TEF = 0.10 * TEE
Total Energy Intake = TEE + TEF
Calculate TEE and TEF:
TEE = (105 kcal/hour) - 500 kcal/day = 105 kcal/hour - 500 kcal/day = -395 kcal/day
TEF = 0.10 * TEE = 0.10 * (-395 kcal/day) = -39.5 kcal/day
Now, calculate Total Energy Intake:
Total Energy Intake = TEE + TEF = (-395 kcal/day) + (-39.5 kcal/day) = -434.5 kcal/day
So, the individual's total energy intake is approximately -435 kcal/day, which means they are in a caloric deficit.
Next, let's calculate the weight loss in 4 weeks:
Weight Loss = (Caloric Deficit per day) * (Number of days in 4 weeks) / (Calories per 1 kg of body weight)
Calories per 1 kg of body weight is approximately 7700 kcal/kg (the average energy content of 1 kg of body fat).
Weight Loss = (-435 kcal/day) * (4 weeks * 7 days/week) / 7700 kcal/kg ≈ -0.99 kg
Now, convert the weight loss from kilograms to pounds:
Weight Loss ≈ -0.99 kg * 2.20462 lbs/kg ≈ -2.19 lbs
So, in theory, the individual would lose approximately 2.2 pounds in 4 weeks.
Finally, let's calculate the Recommended Dietary Allowance (RDA) for protein:
RDA for protein = g/kg per day
RDA for protein = 0.8 g/kg per day * 70 kg ≈ 56 g/day