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.
click here to view the graph.
a. using the formula for bmi, find a womans bmi if she is 23 years old, 74 inches tall, and weighs 206 pounds.
her bmi is 26.4. (round to one decimal place as needed.)
b. use the womans age and her bmi to locate this information as a point in the coordinate system for females. is the woman 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 $W = 206$ pounds and $H=74$ inches. Substitute these values into the formula:
\[

$$\begin{align*} BMI&=\frac{703\times206}{74^{2}}\\ &=\frac{703\times206}{5476}\\ &=\frac{144818}{5476}\\ &\approx26.4 \end{align*}$$

\]

Step3: Analyze weight - status based on graph

Since we don't have the actual graph, we assume general BMI - weight - status ranges. A BMI of 26.4 is typically in the overweight range (BMI values from 25.0 - 29.9 are considered overweight).

Answer:

a. 26.4
b. Overweight