High School

The Body Mass Index (BMI) is a number often used to determine if an individual has a healthy body mass. The function for finding an individual's BMI is:

\[ f(w, h) = \frac{720w}{h^2} \]

What is the BMI for a person whose weight is 157 lbs and whose height is 67 inches? (Round to two decimal places)

Answer :

Final answer:

The BMI of a person weighing 157 lbs and with a height of 67 inches, calculated using the given function, is approximately 25.18 when rounded to two decimal places.

Explanation:

To calculate the Body Mass Index (BMI) for a person who weighs 157 lbs and whose height is 67 inches using the given function f(w, h) = 720w/h², we substitute the values of weight (w) and height (h) into the function.

Step 1: Substitute the given values into the function:

[tex]\(BMI = \frac{720 \times 157}{67^2}\)[/tex]

Step 2: Calculate the denominator (height squared):

67² = 4489

Step 3: Perform the multiplication in the numerator:

[tex]720 \times 157 = 113040[/tex]

Step 4: Divide the numerator by the denominator:

[tex]\(BMI = \frac{113040}{4489}\) \approx 25.18[/tex] (rounded to two decimal places)

Therefore, the BMI of a person weighing 157 lbs and with a height of 67 inches is approximately 25.18.