Answer:
The 5 hour growth/decay factor for the number of milli-grams of caffeine in Alan's body is 0.4759
Step-by-step explanation:
We are given the following in the question:
Caffeine in Alan's body decreases exponentially.
10 hour delay factor = 0.2265
We have to calculate 5 hour delay factor of Alan's body.
Let b be 1 hour delay factor.
Then, we can write
[tex]b^{10} = 0.2265\\\Rightarrow b = (0.2265)^{\frac{1}{10}}\\\Rightarrow b \approx 0.8619[/tex]
To calculate 5-hour growth/decay factor:
[tex]=(b)^5\\=(0.8619)^5\\=0.4759[/tex]
Thus, the 5 hour growth/decay factor for the number of milli-grams of caffeine in Alan's body is 0.4759
