In Exercises 7–12, use the following information. The metric system is based on three di...

In Exercises 7–12, use the following information. The metric system is based on three different units:

• the gram (1 gram = 0.0022046 pound)

• the meter (1 meter = 39.37 inches)

• the liter (1 liter = 61.025 cubic inches)

Other units are formed by adding the following prefixes to these basic units:

• kilo-, which means one thousand (for example, 1 kilometer = 1,000 meters)

• centi-, which means one hundredth (for example, 1 centimeter = 1/100 meter)

• milli-, which means one thousandth (for example, 1 millimeter = 1/1,000 meter)

You cannot determine whether a person is overweight by merely determining his or her weight; if a short person and a tall person weigh the same, the short person could be overweight and the tall person could be underweight. Body mass index (BMI) is becoming a standard way of determining if a person is overweight, since it takes both weight and height into consideration. BMI is defined as (weight in kilograms)/(height in meters)2. According to the World Health Organization, a person is overweight if his or her BMI is 25 or greater. In October 1996, Katherine Flegal, a statistician for the National Center for Health Statistics, said that according to this standard, one out of every two Americans is overweight. (Source: San Francisco Chronicle, 16 October 1996, page A6.)

a. Lenny is 6 feet tall. Convert his height to meters. (Round off to the nearest hundredth.)

b. Lenny weighs 169 pounds. Convert his weight to kilograms. (Round off to the nearest tenth.)

c. Determine Lenny’s BMI. (Round off to the nearest whole number.) Is he overweight?

d. Fred weighs the same as Lenny, but he is 5_5_ tall. Determine Fred’s BMI. (Round off to the nearest whole number.) Is Fred overweight?

e. Why does BMI use the metric system (kilograms and meters) rather than the English system (feet, inches, and pounds)?