a. An athlete with a body mass of 65 kg has 3.0% body fat. How many pounds of body fat does that person have? (2.6)

Verified step by step guidance

1. Convert the body mass from kilograms to pounds using the conversion factor: 1 kg = 2.20462 pounds.
2. Calculate the total body mass in pounds by multiplying the body mass in kilograms by the conversion factor.
3. Determine the mass of body fat in pounds by calculating 3.0% of the total body mass in pounds.
4. To find 3.0% of the total body mass, multiply the total body mass in pounds by 0.03.
5. The result from the previous step gives the mass of body fat in pounds.

Key Concepts

Body Mass and Body Fat Percentage

Body mass refers to the total weight of an individual, while body fat percentage indicates the proportion of that weight that is made up of fat. In this case, the athlete's body mass is 65 kg, and their body fat percentage is 3.0%. Understanding these terms is crucial for calculating the actual amount of body fat.

Conversion Between Kilograms and Pounds

To solve the problem, it's important to convert the body mass from kilograms to pounds, as the final answer requires the body fat weight in pounds. The conversion factor is that 1 kilogram is approximately equal to 2.20462 pounds. This conversion is essential for accurately reporting the body fat weight in the desired units.

Calculating Body Fat Weight

To find the weight of body fat, multiply the total body mass by the body fat percentage (expressed as a decimal). For example, if the body mass is 65 kg and the body fat percentage is 3.0%, the calculation would be 65 kg * 0.03. This step is critical for determining the actual weight of body fat the athlete has.