# Quarter 4 Benchmark

## Conjecture

I think that the caffeine will fully leave my body around 20 hours after I consume my first caffeinated beverage. At the rate at which around every two hours at least 10% of caffeine would leave the body. Around 10 hours is when I predict about half the amount of caffeine is still in your system

## Caffeine Facts

• For most people 32 - 200 mg of caffeine acts as a minor stimulant.
• The steadiness of hand worsens after 200 mg of caffeine.
• More than 300 can produce temporary insomnia.
• More than 400 can cause panic attacks, in panic disorder patients.
• 5 - 10 g ( 5000 mg - 10000 mg ) causes death
• Caffeine is eliminated from the body is 13% per hour.

## Graphs explained

The caffeine will never fully leave your system. I would have half the caffeine in my system around 1:00 pm on the second day of the experiment. It takes about 31 hours for the fist half of the caffeine to dissipate out of my system. It would approximately take 62 hours for all of the caffeine to get out of my system. The graph also shows how many drinks I consumed in a 3 day period. It also has the amount of caffeine consumed and how fast the caffeine dissipates at a rate of 13%.

## Equations Explained

My equation show the amount of caffeine in my system times .87 which is how much caffeine is kept in my system after every hour. The exponent of each function changes because that has to do with the time each new drink was consumed minus the time of the previous drink consumed . The last part of the equation restricts the caffeine levels to a certain time period.