Question

the regions in the graph indicate whether a person is obese, overweight, borderline overweight, normal weight, or underweight. in the graph, the horizontal axis shows age, and the vertical axis shows body - mass index (bmi), computed using the following formula. bmi = \frac{703w}{h^{2}} the variable w represents weight, in pounds. the variable h represents height, in inches. complete parts a and b a. using the formula for bmi, find a mans bmi if he is 23 years old, 75 inches tall, and weighs 196 pounds. his bmi is 24.5. (round to one decimal place as needed.) b. use the mans age and his bmi to locate this information as a point in the coordinate system for males. is the man obese, overweight, borderline overweight, normal range, or underweight? according to the graph, this person is

Explanation:

Step1: Recall BMI - weight - height relationship

The formula for BMI is $BMI=\frac{703W}{H^{2}}$, where $W$ is weight in pounds and $H$ is height in inches.

Step2: Substitute given values

We are given $W = 196$ pounds and $H=75$ inches. Substitute these values into the formula: $BMI=\frac{703\times196}{75^{2}}$.

Step3: Calculate the numerator

$703\times196 = 703\times(200 - 4)=703\times200-703\times4=140600 - 2812 = 137788$.

Step4: Calculate the denominator

$75^{2}=75\times75 = 5625$.

Step5: Calculate the BMI

$BMI=\frac{137788}{5625}\approx24.5$.

For part b, typically, a BMI between 18.5 and 24.9 is considered in the normal - weight range. Since the man's BMI is 24.5, he is in the normal range.

Answer:

a. 24.5
b. normal range