Alan consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Alan's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Alan's body is 0.2265. What is the 5-hour growth/decay factor for the number of mg of caffeine in Alan's body?

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

To calculate 5-hour growth/decay factor:

Thus, the 5 hour growth/decay factor for the number of milli-grams of caffeine in Alan's body is 0.4759

a) 15/7

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