Sure, let's walk through the process step-by-step to calculate the BMI using the formula provided.
Given:
- Weight, [tex]\( \text{weight} = 150 \)[/tex] lbs
- Height, [tex]\( \text{height} = 70 \)[/tex] in
We will use the formula:
[tex]\[
BMI = \frac{703 \times \text{weight}}{\text{height}^2}
\][/tex]
1. Square the height:
[tex]\[
\text{height}^2 = 70^2 = 4900
\][/tex]
2. Multiply the weight by 703:
[tex]\[
703 \times 150 = 105450
\][/tex]
3. Divide the result from step 2 by the result from step 1:
[tex]\[
BMI = \frac{105450}{4900}
\][/tex]
4. Perform the division:
[tex]\[
BMI = \frac{105450}{4900} \approx 21.520408163265305
\][/tex]
Therefore, the calculated BMI is approximately [tex]\(21.52\)[/tex].
After verifying using a BMI calculator [tex]\(C\)[/tex], the result matches the calculated value. Thus, the calculated BMI is confirmed to be approximately [tex]\(21.52\)[/tex].