Chapter 9.2, Problem 55E

To determine

(a)

To find:

The ABSI for a man is $1.85\text{ m}$ tall with a waist of $0.864\text{ m}$ and a BMI of 23.1 and compare with the average ABSI for a 52-year old man of 0.0831.

An alternative to the body mass index (BMI) for estimating the health risk of obesity is A Body Shape Index (ABSI), given by

$ABSI=\frac{w}{b^{2/3}{h}^{1/2}}$

Where $w$ and $h$ are the waist and the height, respectively, in meters and $b$ is the $\text{BMI}$.( See the definition of $\text{BMI}$ to determine whether a person is “overweight” $\left(25\le BMI\le 30\right)$

or obese.

To determine

(b)

To find:

The rate that the ABSI is going up with respect to his waist.

To determine

(c)

To find:

The rate that the ABSI is going up with respect to his height.

To determine

(d)

The greatest effect on the person’s ABSI an increase in waist or an increase in height of same amount intuitionally.