The 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time. Exponential decay differs from linear decay in that the decay factor depends on a percentage of the initial sum, meaning that the amount by which the original sum may be lowered will fluctuate over time as opposed to a linear function, which reduces the original sum by the same amount each time.
Given,
10 hour decay factor = 0.2722
Let us calculate the one-hour decay factor first,
One-hour decay factor = (10 hour decay factor)^1/10 = (0.2722)^1/10 = 0.8779
Now, Calculating the 5-hour decay factor,
5 hour decay factor = ( 1 hour decay factor )^5 = (0.8779)^5 = 0.521
Hence, the 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521
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