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Answer :
The BMI of a person weighing 145 pounds with a height of 65 inches is approximately 24.13, calculated using the BMI formula in pounds and inches.
To find the Body Mass Index (BMI) of a person with a weight of 145 pounds and a height of 65 inches, we can use the following relationship:
The formula for BMI in pounds and inches is: BMI = [703 x weight (lbs)] / [height (in)]²
First, we calculate the BMI for a weight of 135 pounds and height of 63 inches to determine the proportionality constant (k).
BMI = [703 x 135] / 63²
Given that BMI = 23.91 for these values:
- 23.91 = 703 x 135 / 3969
- 23.91 = 94905 / 3969
- 23.91 = 23.91 (This confirms our given value)
Now, we will calculate the BMI for the new weight and height:
- BMI = [703 x 145] / 65²
- BMI = 703 x 145 / 4225
- BMI = 101935 / 4225
BMI ≈ 24.13 (rounded to the nearest hundredth)
Therefore, the BMI of a person with a weight of 145 pounds and height of 65 inches is approximately 24.13.
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