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Calculate Mrs. Cook's current EER at 65, and her EER 30 years ago when she was 35.

Mrs. Cook is 5 feet 4 inches tall and weighs 135 pounds. Assume that her activity level has remained approximately the same since, as a bank teller, she was standing and walking a lot for her job. Also, assume that despite the problems with maintaining weight, she has succeeded in keeping the same weight.

The Harris-Benedict equation for calculation of Resting Metabolic Rate (RMR) is as follows:
[tex]\[ \text{Adult females} \][/tex]
[tex]\[ RMR \,( \text{kcal} ) = 655.1 + (9.6 \times \text{weight in kilograms}) + (1.8 \times \text{height in centimeters}) - (4.7 \times \text{age}) \][/tex]
[tex]\[ EER = RMR \, (\text{from Harris-Benedict equation}) \times \text{activity factor} \][/tex]

Round the final number of kilocalories to the nearest whole number. During calculations, use numbers rounded to the first decimal place. Your answer should have two numbers, the current EER and the EER from 30 years ago, separated by a comma.

View Available Hint(s):
[tex]\[ 1909, 2128 \, \text{kilocalories} \][/tex]



Answer :

GinnyAnswer
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.

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