The graph of an inequality in two variables is a region in the rectangular coordinate system. Regions in coordinate systems have numerous applications. For example, the regions in the following two graphs indicate whether a person is obese, overweight, borderline overweight, normal weight, or underweight.

The horizontal axis shows a person’s age. The vertical axis shows that person’s body-mass index (BMI), computed using the following formula:

The variable W represents weight, in pounds. The variable H represents height, in inches. Use this information to solve Exercises 85–86.

A woman is 25 years old, 66 inches (5 feet, 6 inches) tall, and weighs 105 pounds.

a. Compute the woman’s BMI. Round to the nearest tenth.

b. Use the woman’s age and her BMI to locate this information as a point in the coordinate system for females. Is this person obese, overweight, borderline overweight, normal weight, or underweight?

Transcribed Image Text:

Body-Mass Index (BMI) 35 30 25 20 15 10 20 Females Obese Overweight Borderline Overweight Normal Range 30 40 Underweight 50 Age 60 70 80 Body-Mass Index (BMI) 35 30 25 20 15 10 20 Obese 30 Males Overweight Borderline Overweight Normal Range Underweight 40 50 Age 60 70 80