Question

A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.Part A) Write a formula for the amount, A mg, of caffeine in the body t hours after drinking a cup of coffee.

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

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

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

Step 2:

The details of the solution are as follows:



The graph of:

$A_o=100e^{-0.17t}$

is as follows: