Question

The function that represents the amount of caffeine in milligrams remaining

Answer 1

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

Answer 2

Explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.