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Answer :
Sure, let's solve this step-by-step:
1. Determine the total weight of the athlete:
The weight of the athlete is given as:
[tex]\[ 151 \text{ lb} \][/tex]
2. Convert the body fat percentage to a decimal:
The body fat percentage is given as:
[tex]\[ 15.0\% \][/tex]
To use this in calculations, we convert it to its decimal form by dividing by 100:
[tex]\[ 15.0\% \div 100 = 0.15 \][/tex]
3. Calculate the pounds of body fat:
To find out how many pounds of fat are in the athlete's body, we multiply their total weight by the body fat percentage (in decimal form):
[tex]\[ \text{body fat (lb)} = \text{total weight (lb)} \times \text{body fat percentage (decimal)} \][/tex]
[tex]\[ \text{body fat (lb)} = 151 \times 0.15 \][/tex]
[tex]\[ \text{body fat (lb)} = 22.65 \][/tex]
Therefore, the athlete's body contains [tex]\( 22.65 \)[/tex] pounds of fat.
So the correct answer is:
[tex]\[ \boxed{22.65 \text{ lb}} \][/tex]
1. Determine the total weight of the athlete:
The weight of the athlete is given as:
[tex]\[ 151 \text{ lb} \][/tex]
2. Convert the body fat percentage to a decimal:
The body fat percentage is given as:
[tex]\[ 15.0\% \][/tex]
To use this in calculations, we convert it to its decimal form by dividing by 100:
[tex]\[ 15.0\% \div 100 = 0.15 \][/tex]
3. Calculate the pounds of body fat:
To find out how many pounds of fat are in the athlete's body, we multiply their total weight by the body fat percentage (in decimal form):
[tex]\[ \text{body fat (lb)} = \text{total weight (lb)} \times \text{body fat percentage (decimal)} \][/tex]
[tex]\[ \text{body fat (lb)} = 151 \times 0.15 \][/tex]
[tex]\[ \text{body fat (lb)} = 22.65 \][/tex]
Therefore, the athlete's body contains [tex]\( 22.65 \)[/tex] pounds of fat.
So the correct answer is:
[tex]\[ \boxed{22.65 \text{ lb}} \][/tex]
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