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sweet [91]
3 years ago
8

The function that represents the amount of caffeine in milligrams remaining

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

Answer:

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

<u>A</u><u>(t) = c×e^(dt)</u>

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 <em>190 mg</em> of caffeine, <em>leaving</em> the body at a rate of <em>36%</em><em> </em>every <em>hour</em>.

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

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

fredd [130]3 years ago
4 0

Answer:

Step-by-step 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.

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