The body mass index I can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk.The body mass index is given by the formula, or model, I=700w/h2, which w-height in inches. Frances weighs 166 pounds and stands 73 inches tall. Which is his approximate body mass index?

If this is the formula (Note h^2 means 'h squared' and use of parentheses)

w = 166, h = 73
I = 700w/(h^2)
I = 700(166)/(73^2)
I = 116,200/5329
I = 21.81

BMI= 703*w/h^ 2

BMI 703*130/55inch^2
BMI= 703*120/3844
BMI= 21.94

BMI= 703*w/h^ 2

BMI 703*130/55inch^2
BMI= 703*130/3844
BMI=

23.77

To find Frances' approximate body mass index (BMI), we can use the given formula: I = 700w / h^2, where w represents weight in pounds and h represents height in inches.

Given data:
Weight (w) = 166 pounds
Height (h) = 73 inches

To calculate BMI, follow these steps:

Step 1: Convert the weight from pounds to kilograms.
To convert pounds to kilograms, divide the weight in pounds by 2.205.
Weight in kilograms = 166 pounds / 2.205 ≈ 75.08 kg

Step 2: Convert the height from inches to meters.
To convert inches to meters, multiply the height in inches by 0.0254.
Height in meters = 73 inches × 0.0254 ≈ 1.8542 m

Step 3: Calculate the BMI using the formula.
BMI = 700 * weight(kg) / height^2(m^2)
BMI = 700 * 75.08 / (1.8542^2) ≈ 24.62 (approx.)

Therefore, Frances' approximate body mass index (BMI) is approximately 24.62. This falls below the threshold of 25, indicating a low risk for heart disease.