Question

Trent consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Trent's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Trent's body is 0.2428. What is the 5-hour growth/decay factor for the number of mg of caffeine in Trent's body

Answer 1

Answer:

The 5-hour decay factor is 0.4927.

Step-by-step explanation:

The amount of caffeine in Trent's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2428.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2428)^{1/10}=0.868$

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.868)^{5}\\=0.4927$

Thus, the 5-hour decay factor is 0.4927.