Question

If caffeine leaves the body at a continuous rate of about 16% per hour. How much caffeine is leftin the body 8 hours after drinking a cup of coffee containing 100 mg of caffeine?1. 24.80 mg2. 359.66 mg3. 87.99 mg4. There is no way to tell.

Answer 1

To solve this problem, we will use the following formula:

$F=I(1-r)^t,$

where r is the rate in decimal form, I is the initial amount, and t is the time in hours.

Substituting I=100, r=0.16, and t=8, we get:

$F=100(1-0.16)^8.$

Simplifying the above result, we get:

$F=24.80.$

Answer:

$24.80\text{ mg.}$