Question

Topic: Exponential Growth and Decay
The half-life of caffeine in your body is about 6 hours. If you had 1 cup of coffee 9 hours ago how much is left in your system? ( And Answer in short words pls )

Answer 1

Let’s make it simple. Let us say that one cup of coffee has X grams of caffeine. 6 hours later in your body, the caffeine is half of X grams or (X/2) grams. 9 hours is 6 + 3. The 6 hours is X/2. The 3 hours is 1/2 of the half-life, which is therefore a quarter or X/4.

1/2 of 1/2 is a quarter.