Quarter 2 Benchmark
Exponential decay is when a group of something starts to decline over the total value that decreases over a constant rate of time. The larger he decay is the more the quantity vanish more rapidly in the graph.
The blue domain area represents the time I went to sleep during the two days the caffeine research was getting recorded. I went to sleep at 10:00pm and woke up 7:00am. You can see the I had intakes some caffeine before I went to sleep and you can see how the caffeine in my body was decreasing each hour.
Some key features you could see is that in this seven-piece wise functions, no matter how much caffeine I intake over the time, it will never go over the initial amount I started out with. Meaning I didn't consume anything that would be enough to go pass 250.
Based on my research, I say that you shouldn't drink caffeine or limit yourself once you know how much the stimulant of it can affect you. It takes only 32mg to 200mg for caffeine to cause a minor stimulant. Someone can have just 80mg and can absorb it as a major assumption while others may not. People should know their limit with people and their amount of caffeine that they can do.
Caffeine in your body will be eliminated 13% per hour. All of the equations in this research used this percentage to create this exponential decay. Every time you intake some more caffeine, the amount of caffeine will get larger and start to decay again from this new amount.
