Dakota's body metabolizes caffeine at a rate of 13.1% per hour (so the amount of caffeine in Dakota's body decreases by 13.1% each hour). a. If Dakota consumes a cup of coffee with 84 mg of caffeine in it, how long will it take for Dakota's body to metabolize half of the 84 mg of caffeine? 5.29 * hours Preview b. If Dakota consumes an energy drink with 184 mg of caffeine in it, how long will it take for Dakota's body to metabolize half of the 184 mg of caffeine? (5.291) * hours Preview c. If Dakota consumes a cup of coffee with c mg of caffeine in it, how long will it take for Dakota's body to metabolize half of the c mg of caffeine? (Hint: your answer will be a numerical value.) 5.29 * hours Preview

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.9: Geometric Sequences As Exponential Functions
Problem 49PFA
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Dakota's body metabolizes caffeine at a rate of 13.1% per hour (so the amount of caffeine in Dakota's body
decreases by 13.1% each hour).
a. If Dakota consumes a cup of coffee with 84 mg of caffeine in it, how long will it take for Dakota's
body to metabolize half of the 84 mg of caffeine?
5.29
* hours
Preview
b. If Dakota consumes an energy drink with 184 mg of caffeine in it, how long will it take for Dakota's
body to metabolize half of the 184 mg of caffeine?
(5.291)
* hours
Preview
c. If Dakota consumes a cup of coffee withc mg of caffeine in it, how long will it take for Dakota's
body to metabolize half of the c mg of caffeine? (Hint: your answer will be a numerical value.)
5.29
* hours
Preview
Transcribed Image Text:Dakota's body metabolizes caffeine at a rate of 13.1% per hour (so the amount of caffeine in Dakota's body decreases by 13.1% each hour). a. If Dakota consumes a cup of coffee with 84 mg of caffeine in it, how long will it take for Dakota's body to metabolize half of the 84 mg of caffeine? 5.29 * hours Preview b. If Dakota consumes an energy drink with 184 mg of caffeine in it, how long will it take for Dakota's body to metabolize half of the 184 mg of caffeine? (5.291) * hours Preview c. If Dakota consumes a cup of coffee withc mg of caffeine in it, how long will it take for Dakota's body to metabolize half of the c mg of caffeine? (Hint: your answer will be a numerical value.) 5.29 * hours Preview
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