To find the Body Mass Index (BMI), we can plug the given information into the formula B=kw/h^2.
Given:
Weight = 160 pounds
Height = 62 inches
Let's substitute these values into the formula:
B=kw/h^2
B = k(160)/(62)^2
From the given information in the question, we know that when a person weighs 164 lb and is 67 in. tall, their BMI is 25.72.
Thus, we can set up the equation:
25.72 = k(164)/(67)^2
To find the value of k, we can rearrange the equation:
25.72 = (164k)/(67)^2
Now, we can solve for k:
k = (25.72 * (67)^2) / 164
k ≈ 9.367
Now, we have the value of k. To find the BMI of a person who weighs 160 pounds and is 62 inches tall, we can substitute these values into the formula:
B = (9.367 * 160)/(62)^2
B ≈ 24.74
Therefore, the Body Mass Index (BMI) of a person weighing 160 pounds and being 62 inches tall is approximately 24.74.
Body mass index, or BMI, is used by physicians to assess a person's level of fatness. BMI varies directly as an individual's weight in pounds and inversely as the square of the individual's height in inches. A person who weighs 164 lb and is 67 in. tall has a BMI of 25.72. (BMI is usually rounded to the nearest whole number.)
Use the formula B=kw/h^2 to find the Body Mass Index of a with the given weight and height.
weight: 160 pounds
height: 62 inches
1 answer
1 answer