Diego consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Diego's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Diego's body is 0.2785. What is the 5-hour growth/decay factor for the number of mg of caffeine in Diego's body?   What is the 1-hour growth/decay factor for the number of mg of caffeine in Diego's body?   If there were 180 mg of caffeine in Diego's body 1.49 hours after consuming the energy drink, how many mg of caffeine is in Diego's body 2.49 hours after consuming the energy drink?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Diego consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Diego's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Diego's body is 0.2785.

  1. What is the 5-hour growth/decay factor for the number of mg of caffeine in Diego's body?

     

  2. What is the 1-hour growth/decay factor for the number of mg of caffeine in Diego's body?

     

  3. If there were 180 mg of caffeine in Diego's body 1.49 hours after consuming the energy drink, how many mg of caffeine is in Diego's body 2.49 hours after consuming the energy drink?

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