SOLUTION: the half life of caffeine in a child's system when a child eats or drinks something with caffeine in it is 2.5 h How much caffeine would remain in a child's body if the child ate a

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Question 1187573: the half life of caffeine in a child's system when a child eats or drinks something with caffeine in it is 2.5 h How much caffeine would remain in a child's body if the child ate a chocolate bar with 20 mg of caffeine 8 hours before?
Answer by ikleyn(52781) About Me  (Show Source):
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the half life of caffeine in a child's system when a child eats or drinks something with caffeine in it is 2.5 h.
How much caffeine would remain in a child's body if the child ate a chocolate bar with 20 mg of caffeine 8 hours before?
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To make it simple


    8 hours = 8%2F2.5 = 3.2  of the half-life time periods of the caffeine.


THEREFORE,  20 mg of the caffeine  will disintegrate to  20%2A%281%2F2%29%5E3.2 = 2.18 mg of caffeine in 8 hours.    ANSWER

Solved and explained  (as simple as possible).

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To see many other similar  (and different)  solved problems on exponential growth/decay,  look into the lessons
    - Population growth problems
    - Radioactive decay problems
    - Carbon dating problems
    - Bacteria growth problems
    - A medication decay in a human's body
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.