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.)

Question

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

Answer 1

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.

Answer 2

To find the Body Mass Index (BMI) of a person with the given weight and height, we can use the equation B = kw/h^2, where B represents the BMI, w represents weight in pounds, h represents height in inches, and k is a constant.

Given:
Weight (w) = 160 pounds
Height (h) = 62 inches

Let's substitute these values into the equation:

B = kw/h^2

B = k(160) / (62)^2

Since we don't know the value of k, we can rearrange the equation to solve for it.

B (h^2) = k(160)

To find k, we can divide both sides of the equation by h^2:

k = B (h^2) / 160

Now, let's substitute the given BMI value into the equation:

k = 25.72 (62^2) / 160

Calculating this expression:

k ≈ 25.72 (3844) / 160
k ≈ 61953.28 / 160
k ≈ 387.08

Now we have the value of k.

Substituting this value back into the original equation, we can find the BMI of a person with the given weight and height:

B = (387.08)(160) / (62)^2

Calculating this expression:

B ≈ 61932.8 / 3844
B ≈ 16.10

Therefore, the approximate BMI for a person who weighs 160 pounds and is 62 inches tall is 16.10.

Answer 3

To find the BMI using the given weight and height, we can use the formula B = kw/h^2, where B represents the BMI, k is a constant, w is the weight in pounds, and h is the height in inches.

First, let's calculate the value of k. We are given that a person who weighs 164 lb and is 67 in. tall has a BMI of 25.72. We can rearrange the formula to solve for k:

B = kw/h^2
25.72 = k * 164 / 67^2

Now, let's solve for k:

k = (25.72 * 67^2) / 164

Using a calculator, we can evaluate the right side of the equation:

k ≈ 0.123297

Now that we have the value of k, we can use the formula to find the BMI for a person who weighs 160 pounds and is 62 inches tall:

B = k * w / h^2
B = 0.123297 * 160 / 62^2

Again, using a calculator, we can evaluate the right side of the equation:

B ≈ 27.297

Rounding to the nearest whole number, the BMI of a person who weighs 160 pounds and is 62 inches tall is approximately 27.

Therefore, the BMI is 27.