A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate

Question:

A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour. 

(a) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee. 

(b) Graph the function from part (a). Use the graph to estimate the half-life of caffeine. 

(c) Use logarithms to find the half-life of caffeine.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

Question Posted: