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\begin{tabular}{l} Question \\ Exercise is important to maintain a healthy lifestyle. After starting a regular workout routine, a young adult noticed their BMI \\ decreasing \( 2.9 \% \) every 6 months. What is the decay factor? \\ Provide your answer below: \\ DIB FEEDBACK MORE INSTRUCTION \\ \hline\end{tabular}

Ask by Collins Young. in the United States
Feb 10,2025

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Answer

The decay factor is 0.971.

Solution

Since the BMI decreases by 2.9% every 6 months, you can find the decay factor by subtracting 2.9% (or 0.029) from 1. That is:   Decay factor = 1 - 0.029 = 0.971 So, the decay factor is 0.971.

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To determine the decay factor for the BMI decreasing by \( 2.9 \% \) every 6 months, we first convert that percentage into a decimal. If \( 2.9 \% \) is decreasing, the remaining percentage representing the individual's BMI after the decrease is \( 100\% - 2.9\% = 97.1\% \), or in decimal form, \( 0.971 \). Thus, the decay factor is \( 0.971 \). Now, let’s sprinkle in some fun facts! Did you know that the Body Mass Index (BMI) was developed in the early 19th century by the Belgian mathematician Adolphe Quetelet? He wanted to find a quick way to assess whether a person was overweight based on height and weight. Back then, it was more about population trends and less about individuals, but today it's become a popular tool in health assessments! In the world of fitness, consistency is key to seeing desirable results. One common mistake people make is expecting immediate results. Remember, changes take time! A helpful tip is to track your progress, as it can be incredibly motivating—even when it's just a tiny shift. Celebrate those small victories, and keep pushing toward those long-term goals!

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