Question

select the correct answer.
reggie is 72 inches tall and weighs 130 pounds. use the formula below to answer the question about his weight.
\boxed{bmi = \text{weight (in pounds)} \times \frac{703}{\left\text{height (in inches)}\
ight^2}}
which bmi category does reggie fall into?
\bigcirc a. \\ 26.5, overweight
\bigcirc b. \\ 17.6, underweight
\bigcirc c. \\ 19.7, appropriate weight

Explanation:

Step1: Identify given values

Weight = 130 pounds, Height = 72 inches.

Step2: Substitute into BMI formula

BMI = \( 130 \times \frac{703}{72^2} \)

Step3: Calculate denominator

\( 72^2 = 5184 \)

Step4: Calculate fraction part

\( \frac{703}{5184} \approx 0.1356 \)

Step5: Multiply by weight

\( 130 \times 0.1356 \approx 17.63 \)? Wait, no, wait, let's recalculate: \( 130\times703 = 91390 \), then \( 91390\div5184 \approx 17.63 \)? Wait, no, maybe I miscalculated. Wait, 72 squared is 5184. 130703 = 91390. 91390 divided by 5184: 518417 = 88128, 91390 - 88128 = 3262. 3262/5184 ≈ 0.63. So 17.63. Wait, but option B is 17.6, underweight. Wait, but maybe I made a mistake. Wait, no, let's check again. Wait, the formula is BMI = (Weight 703) / (Height^2). So Weight is 130, Height is 72. So (130703)/(72^2) = (91390)/(5184) ≈ 17.63, which is approximately 17.6, so underweight. Wait, but let's check the options. Option B is 17.6, underweight. Wait, but maybe I messed up. Wait, no, let's do the calculation again. 72 squared is 5184. 130 times 703: 130700=91000, 1303=390, so 91390. 91390 divided by 5184: let's divide numerator and denominator by 2: 45695 / 2592 ≈ 17.63. So yes, approximately 17.6, which is underweight (option B) or wait, maybe I made a mistake in the formula? Wait, the formula for BMI in pounds and inches is indeed weight (lb) * 703 / (height (in)^2). So that's correct. So Reggie's BMI is approximately 17.6, which is underweight (since underweight is BMI less than 18.5, normal is 18.5-24.9, overweight 25-29.9, obese 30+). So 17.6 is under 18.5, so underweight. So the correct option is B.
Wait, but wait, the initial calculation I thought maybe wrong, but no, let's confirm. So:

BMI = (130 * 703) / (72^2) = 91390 / 5184 ≈ 17.6. So that's option B.

Answer:

B. 17.6, underweight