Dylan's body metabolizes caffeine at a rate of 12.8% per hour (so the amount of caffeine in Dylan's body decreases by 12.8% each hour). a. If Dylan consumes a cup of coffee with 82 mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the 82 mg of caffeine? 1 * hours 5.06072977 b. If Dylan consumes an energy drink with 240 mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the 240 mg of caffeine? Preview ✔ hours Preview c. If Dylan consumes a cup of coffee with c mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the c mg of caffeine? (Hint: Your answer will be a numerical value.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Dylan's body metabolizes caffeine at a rate of 12.8% per hour (so the amount of caffeine in Dylan's body decreases by 12.8% each hour).
a. If Dylan consumes a cup of coffee with 82 mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the 82 mg of
caffeine?
1
*hours
5.06072977
b. If Dylan consumes an energy drink with 240 mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the 240 mg
of caffeine?
Preview
✓ hours Preview
c. If Dylan consumes a cup of coffee with c mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the c mg of
caffeine? (Hint: Your answer will be a numerical value.)
hours
Preview
Transcribed Image Text:Dylan's body metabolizes caffeine at a rate of 12.8% per hour (so the amount of caffeine in Dylan's body decreases by 12.8% each hour). a. If Dylan consumes a cup of coffee with 82 mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the 82 mg of caffeine? 1 *hours 5.06072977 b. If Dylan consumes an energy drink with 240 mg of caffeine in it, how long will it take for Dylan's body to metabolize half of the 240 mg of caffeine? Preview ✓ hours Preview c. If Dylan consumes a cup of coffee with c mg of caffeine in it, how long will it take for Dylan'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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