Question

The half-life of caffeine varies among individuals. Write a function for this new half-life time (assuming a peak level of 80 mg of caffeine). Determine the amount of caffeine in the bloodstream after:

a. 1 hour
b. 5 hours
c. 10 hours
d. 20 hours

Answer 1

The half-life of caffeine can be modeled using the formula amount remaining = initial amount × (1/2)^(t / half-life). Using this formula, we can determine the amount of caffeine in the bloodstream after specific time intervals.

Step-by-step explanation:

The half-life of caffeine varies among individuals, but we can still write a function for the half-life time assuming a peak level of 80 mg of caffeine. Let's use the formula:

amount remaining = initial amount × (1/2)^(t / half-life)

where 't' is the time in hours. Using this formula, we can determine the amount of caffeine in the bloodstream after:

1. 1 hour: 80 mg × (1/2)^(1 / half-life)
2. 5 hours: 80 mg × (1/2)^(5 / half-life)
3. 10 hours: 80 mg × (1/2)^(10 / half-life)
4. 20 hours: 80 mg × (1/2)^(20 / half-life)