Zach's body metabolizes caffeine at a rate

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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Zach's body metabolizes caffeine at a rate of 12.2% per
hour (so the amount of caffeine in Zach's body decreases
by 12.2% each hour).
a. If Zach consumes a cup of coffee with 90
mg
of
caffeine in it, how long will it take for Zach's body
to metabolize half of the 90 mg of caffeine?
hours
Preview
b. If Zach consumes an energy drink with 196 mg
caffeine in it, how long will it take for Zach's body
to metabolize half of the 196 mg of caffeine?
of
hours
Preview
c. If Zach consumes a cup of coffee with c mg of
caffeine in it, how long will it take for Zach's body
to metabolize half of the c mg of caffeine? (Hint:
your answer will be a numerical value.)
hours
Preview
Transcribed Image Text:Zach's body metabolizes caffeine at a rate of 12.2% per hour (so the amount of caffeine in Zach's body decreases by 12.2% each hour). a. If Zach consumes a cup of coffee with 90 mg of caffeine in it, how long will it take for Zach's body to metabolize half of the 90 mg of caffeine? hours Preview b. If Zach consumes an energy drink with 196 mg caffeine in it, how long will it take for Zach's body to metabolize half of the 196 mg of caffeine? of hours Preview c. If Zach consumes a cup of coffee with c mg of caffeine in it, how long will it take for Zach's body to metabolize half of the c mg of caffeine? (Hint: your answer will be a numerical value.) hours Preview
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