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To determine Mrs. Cook's Estimated Energy Requirement (EER) both currently and 30 years ago, we need to apply the Harris-Benedict equation for Resting Metabolic Rate (RMR) and then factor in her activity level.
Here’s a step-by-step breakdown:
1. Convert Height and Weight to Metric Units:
- Height: 5 feet 4 inches.
- 1 foot = 30.48 cm, so 5 feet is [tex]\(5 \times 30.48 = 152.4\)[/tex] cm.
- 1 inch = 2.54 cm, so 4 inches is [tex]\(4 \times 2.54 = 10.16\)[/tex] cm.
- Total height in cm = [tex]\(152.4 + 10.16 = 162.56\)[/tex] cm.
- Weight: 135 pounds.
- 1 pound = 0.453592 kg, so 135 pounds is [tex]\(135 \times 0.453592 \approx 61.2\)[/tex] kg (rounded to the first decimal place).
2. Activity Factor:
- Given her regular exercise routine and activity level, we'll use an activity factor of 1.2 (for a sedentary to lightly active lifestyle).
3. Calculate RMR using Harris-Benedict Equation:
- The Harris-Benedict equation for adult females is:
[tex]\[ \text{RMR} (\text{kcal}) = 655.1 + (9.6 \times \text{weight in kg}) + (1.8 \times \text{height in cm}) - (4.7 \times \text{age}) \][/tex]
4. Calculate her current RMR at the age of 65:
- Substitute the values into the equation:
[tex]\[ \text{RMR}_{\text{current}} = 655.1 + (9.6 \times 61.2) + (1.8 \times 162.56) - (4.7 \times 65) \][/tex]
- Evaluate this:
[tex]\[ \text{RMR}_{\text{current}} = 655.1 + 587.52 + 292.608 - 305.5 = 1229.728 \][/tex]
5. Calculate the EER for her current age:
- Multiply the RMR by the activity factor:
[tex]\[ \text{EER}_{\text{current}} = 1229.728 \times 1.2 = 1475.6736 \][/tex]
- Round to the nearest whole number: 1476 kcal.
6. Calculate her RMR 30 years ago at the age of 35:
- Substitute the values into the equation:
[tex]\[ \text{RMR}_{\text{30 years ago}} = 655.1 + (9.6 \times 61.2) + (1.8 \times 162.56) - (4.7 \times 35) \][/tex]
- Evaluate this:
[tex]\[ \text{RMR}_{\text{30 years ago}} = 655.1 + 587.52 + 292.608 - 164.5 = 1370.728 \][/tex]
7. Calculate the EER for 30 years ago:
- Multiply the RMR by the activity factor:
[tex]\[ \text{EER}_{\text{30 years ago}} = 1370.728 \times 1.2 = 1644.8736 \][/tex]
- Round to the nearest whole number: 1645 kcal.
So, Mrs. Cook's current EER is 1476 kilocalories, and her EER 30 years ago was 1645 kilocalories.
Here’s a step-by-step breakdown:
1. Convert Height and Weight to Metric Units:
- Height: 5 feet 4 inches.
- 1 foot = 30.48 cm, so 5 feet is [tex]\(5 \times 30.48 = 152.4\)[/tex] cm.
- 1 inch = 2.54 cm, so 4 inches is [tex]\(4 \times 2.54 = 10.16\)[/tex] cm.
- Total height in cm = [tex]\(152.4 + 10.16 = 162.56\)[/tex] cm.
- Weight: 135 pounds.
- 1 pound = 0.453592 kg, so 135 pounds is [tex]\(135 \times 0.453592 \approx 61.2\)[/tex] kg (rounded to the first decimal place).
2. Activity Factor:
- Given her regular exercise routine and activity level, we'll use an activity factor of 1.2 (for a sedentary to lightly active lifestyle).
3. Calculate RMR using Harris-Benedict Equation:
- The Harris-Benedict equation for adult females is:
[tex]\[ \text{RMR} (\text{kcal}) = 655.1 + (9.6 \times \text{weight in kg}) + (1.8 \times \text{height in cm}) - (4.7 \times \text{age}) \][/tex]
4. Calculate her current RMR at the age of 65:
- Substitute the values into the equation:
[tex]\[ \text{RMR}_{\text{current}} = 655.1 + (9.6 \times 61.2) + (1.8 \times 162.56) - (4.7 \times 65) \][/tex]
- Evaluate this:
[tex]\[ \text{RMR}_{\text{current}} = 655.1 + 587.52 + 292.608 - 305.5 = 1229.728 \][/tex]
5. Calculate the EER for her current age:
- Multiply the RMR by the activity factor:
[tex]\[ \text{EER}_{\text{current}} = 1229.728 \times 1.2 = 1475.6736 \][/tex]
- Round to the nearest whole number: 1476 kcal.
6. Calculate her RMR 30 years ago at the age of 35:
- Substitute the values into the equation:
[tex]\[ \text{RMR}_{\text{30 years ago}} = 655.1 + (9.6 \times 61.2) + (1.8 \times 162.56) - (4.7 \times 35) \][/tex]
- Evaluate this:
[tex]\[ \text{RMR}_{\text{30 years ago}} = 655.1 + 587.52 + 292.608 - 164.5 = 1370.728 \][/tex]
7. Calculate the EER for 30 years ago:
- Multiply the RMR by the activity factor:
[tex]\[ \text{EER}_{\text{30 years ago}} = 1370.728 \times 1.2 = 1644.8736 \][/tex]
- Round to the nearest whole number: 1645 kcal.
So, Mrs. Cook's current EER is 1476 kilocalories, and her EER 30 years ago was 1645 kilocalories.
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