What percentage of the initial amount of caffeine do you expect to
break down in the first 3 hours:
Less than
exactly
More than
Explain your thinking.

Ask by Knight Murray. in the United States

Jan 10,2025

Question

What percentage of the initial amount of caffeine do you expect to break down in the first 3 hours: Less than $$ 25 \% $$ exactly $$ 25 \% $$ More than $$ 25 \% $$ Explain your thinking.

UpStudy AI · Accepted Answer

**More than 25%**

**Explanation:**

Caffeine is metabolized in the body with a half-life that typically ranges from **3 to 5 hours** in adults, depending on various factors such as age, liver function, hormonal status, and concurrent use of medications. The half-life is the time it takes for the body to eliminate half of the caffeine consumed.

Let's break down the metabolism over the first 3 hours:

1. **Using a 4-hour half-life (a common average):**
   - **Fraction remaining after 3 hours:**
     $$
     \left(\frac{1}{2}\right)^{\frac{3}{4}} \approx 0.594 \text{ or } 59.4\%
     $$
   - **Fraction metabolized:**
     $$
     100\% - 59.4\% = 40.6\%
     $$
   
2. **Using a 5-hour half-life (on the higher end):**
   - **Fraction remaining after 3 hours:**
     $$
     \left(\frac{1}{2}\right)^{\frac{3}{5}} \approx 0.659 \text{ or } 65.9\%
     $$
   - **Fraction metabolized:**
     $$
     100\% - 65.9\% = 34.1\%
     $$
   
3. **Using a 3-hour half-life (on the lower end):**
   - **Fraction remaining after 3 hours:**
     $$
     \left(\frac{1}{2}\right)^{\frac{3}{3}} = 0.5 \text{ or } 50\%
     $$
   - **Fraction metabolized:**
     $$
     100\% - 50\% = 50\%
     $$

Across these scenarios, **more than 25%** of the initial caffeine dose is typically metabolized within the first 3 hours. This aligns with the pharmacokinetic understanding of caffeine metabolism, where a significant portion is broken down well before reaching just a quarter of the initial amount.
More than 25% of the initial caffeine is broken down in the first 3 hours.

What percentage of the initial amount of caffeine do you expect to
break down in the first 3 hours:
Less than
exactly
More than
Explain your thinking.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Biology Questions

What percentage of the initial amount of caffeine do you expect to break down in the first 3 hours: Less than exactly More than Explain your thinking.