To determine the BMI category for a person who is 1.64 meters tall and has a mass of 69 kilograms, we first need to calculate the BMI using the given formula:
[tex]\[
\text{BMI} = \frac{\text{body mass in kg}}{(\text{height in m})^2}
\][/tex]
Let's break this calculation down step-by-step:
1. Identify the given variables:
- Body mass (weight) = 69 kg
- Height = 1.64 m
2. Substitute the given values into the BMI formula:
[tex]\[
\text{BMI} = \frac{69}{(1.64)^2}
\][/tex]
3. Calculate the height squared:
[tex]\[
(1.64)^2 = 2.6896
\][/tex]
4. Divide the body mass by the squared height:
[tex]\[
\text{BMI} = \frac{69}{2.6896} \approx 25.654
\][/tex]
So, the calculated BMI for this person is approximately 25.654.
Next, we use Table 1 to categorize this BMI value:
- Underweight: BMI < 18.5
- Healthy weight: BMI 18.5 to 24.9
- Overweight: BMI 25.0 to 29.9
- Obese: BMI > 29.9
Given that the calculated BMI is 25.654, we see that it falls within the range of 25.0 to 29.9. Therefore, according to Table 1:
- The BMI category is Overweight.
So, the person's BMI category is Overweight.
