After drinking a cup of coffee containing 100 mg of caffeine, caffeine leaves the body at a rate of 17% hourly compounded continuously. Write an equation that represents the amount of caffeine left in the body after t hours. How much caffeine is left in the body 8 hours after drinking this cup of coffee?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.7: Writing Exponential Functions
Problem 31HP
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After drinking a cup of coffee containing 100 mg of caffeine, caffeine leaves the body at a rate of 17% hourly compounded continuously.

  1. Write an equation that represents the amount of caffeine left in the body after t hours.
  2. How much caffeine is left in the body 8 hours after drinking this cup of coffee?
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