Question

use the spreadsheet to answer the following questions. compute the body mass index for the following people. a. weight 165 lbs, height 5 feet 4 inches b. weight 203 lbs, height 5 feet 9 inches c. weight 255 lbs, height 6 feet 2 inches a. the body mass index of the first person is 29.0. (round to the nearest tenth as needed.) b. the body mass index of the second person is. (round to the nearest tenth as needed.)

Explanation:

Step1: Convert height to inches

5 feet 9 inches = 5*12 + 9 = 69 inches.

Step2: Convert inches to meters (1 inch = 0.0254 meters)

Height in meters = 69 * 0.0254 ≈ 1.7526 meters.

Step3: Convert weight to kilograms (1 lb = 0.453592 kg)

Weight in kg = 203 * 0.453592 ≈ 92.0892 kg.

Step4: Calculate BMI (BMI = weight(kg) / height(m)²)

BMI = 92.0892 / (1.7526)² ≈ 92.0892 / 3.0716 ≈ 29.98 ≈ 30.0 (Wait, no, let's recalculate the height conversion correctly. Wait, the formula for BMI in pounds and inches is BMI = (weight(lb) * 703) / height(inch)². Oh right, that's a simpler formula. Let's use that.

Step1 (revised): Use the correct formula for BMI with pounds and inches: BMI = (weight * 703) / height²

Height is 5 feet 9 inches = 69 inches. Weight is 203 lbs.

Step2 (revised): Plug in the values

BMI = (203 * 703) / (69)²

Step3 (revised): Calculate numerator and denominator

Numerator: 203 703 = 203 700 + 203 * 3 = 142100 + 609 = 142709
Denominator: 69² = 4761

Step4 (revised): Divide numerator by denominator

BMI = 142709 / 4761 ≈ 29.97 ≈ 30.0 (Wait, but let's do the division more accurately. 142709 ÷ 4761. Let's see, 4761 29 = 476130 - 4761 = 142830 - 4761 = 138069. 142709 - 138069 = 4640. 4640 / 4761 ≈ 0.974. So total is 29.974 ≈ 30.0? Wait, no, 29.974 rounded to the nearest tenth is 30.0? Wait, 29.974 is approximately 30.0 when rounded to the nearest tenth? Wait, 29.974, the tenths place is 9, the hundredths is 7, so we round up the tenths place: 29.9 + 0.1 = 30.0. Wait, but let's check with the formula again. (203 703) = 203700=142100, 2033=609, so 142100+609=142709. 69 squared is 4761. 142709 divided by 4761: 476129 = 138069, 142709-138069=4640. 4640/4761≈0.974. So 29.974, which is 30.0 when rounded to the nearest tenth? Wait, no, 29.974 is 29.97, so to the nearest tenth, look at the hundredths place: 7, which is more than 5, so we round the tenths place up: 9 becomes 10, so we carry over. So 29.9 + 0.1 = 30.0. Wait, but let's check with a calculator. 203703=203700 + 2033=142100+609=142709. 69^2=4761. 142709/4761=29.974..., so 30.0 when rounded to the nearest tenth. Wait, but maybe I made a mistake. Wait, 5 feet 9 inches is 69 inches. 203 lbs. So (203703)/(69^2) = 142709/4761 ≈ 29.97, which is 30.0 when rounded to the nearest tenth. Wait, but let's check with another approach. Let's use the metric formula. Height in meters: 69 inches 0.0254 m/inch = 1.7526 m. Weight in kg: 203 lbs 0.453592 kg/lb = 92.089 kg. Then BMI = 92.089 / (1.7526)^2 = 92.089 / 3.0716 ≈ 29.98, which is approximately 30.0. So the BMI is approximately 30.0 when rounded to the nearest tenth. Wait, but let's do the calculation more precisely. 1.7526 squared is 1.75261.7526. Let's calculate 1.751.75=3.0625, 1.750.0026=0.00455, 0.00261.75=0.00455, 0.00260.0026=0.00000676. So (1.75 + 0.0026)^2 = 1.75² + 21.750.0026 + 0.0026² = 3.0625 + 0.0091 + 0.00000676 = 3.07160676. Then 92.089 / 3.07160676 ≈ 29.98, which is 30.0 when rounded to the nearest tenth. So the BMI is 30.0. Wait, but let's check with the formula again. Wait, maybe I messed up the formula. The correct formula for BMI using pounds and inches is BMI = (weight in pounds 703) / (height in inches)^2. So let's recalculate: 203703=203700 + 2033=142100 + 609=142709. 69^2=4761. 142709 divided by 4761: 476129=138069, 142709-138069=4640. 4640/4761≈0.974. So 29.974, which is 30.0 when rounded to the nearest tenth. So the BMI is 30.0.

Answer:

30.0