(Answered) MM212 Why Can’t I Sleep? Unit 4 Discussion

MM212 Why Can’t I Sleep? Unit 4 Discussion

Why Can’t I Sleep?

The half-life of caffeine is about 5.7 hours. This means that half of the caffeine intake will still be in your system after 5.7 hours. The general formula (using rational exponents) is:

A equals C times 0.5 raised to the quantity t divided by k power

where:

t = the hours since drinking the caffeine

k = the half-life of caffeine (about 5.7 hours*)

C = the milligrams, mg, of caffeine ingested

A = the milligrams, mg, of caffeine left in your body after t hours

*Statland, D. E., & Demas, T. J. (1980, March). Serum caffeine half-lives. Healthy subjects vs. patients having alcoholic hepatic disease. American Journal of Clinical Pathology, 73(3), 390–393. https://doi.org/10.1093/ajcp/73.3.390.PMID:7361718

Post 1: Initial Thread
Find the amount of caffeine in your favorite caffeinated beverage by checking the nutrition label or doing research on the internet. Be sure to find the amount of caffeine in the entire container, not just in one serving. This will be C in the equation. Assume you drink the entire container in one sitting.

  • Share the name of your favorite caffeinated beverage and the amount of caffeine in that beverage.
  • Calculate the amount of caffeine (mg) remaining in your body t = 2 hours after you drank the beverage. Show all steps in your calculations and round your answer to the hundredths place.

MM212 Why Can’t I Sleep? Unit 4 Discussion Answer

My favorite caffeinated drink is Bang Energy. The amount of caffeine in one Bang Energy is 300mg. To find out how much caffeine is remaining in my body 2 hours after I finished the bang energy drink, I would need to know the half-life of caffeine. The half-life of caffeine is 5.7 hours. The formula to calculate the remaining amount of caffeine in my body is:

 

MM212 College Algebra

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