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=C(0.5)t/k where:  t = the hours since drinking the caffeine k = the half-life of caffeine (about 5.7 hours) C = the milligrams of caffeine ingested A = the milligrams of caffeine left in your body after t hours New Thread Post 1: 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 beverage 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) still in your body after t = 2 hours after you drank the beverage. Show all steps in your calculations and round your answer to the thousandths place.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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=C(0.5)t/k

where: 

t = the hours since drinking the caffeine

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

C = the milligrams of caffeine ingested

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

New Thread Post 1:

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 beverage 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) still in your body after t = 2 hours after you drank the beverage. Show all steps in your calculations and round your answer to the thousandths place.

 

Thank you,

 

Juliana

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