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

Question

1 year ago

5

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

1 answer:

forsale [732] · Answer 1 · 2024-03-01T04:59:04+03:00

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: