High School

After ingesting 300 milligrams of caffeine, the amount of caffeine left in the bloodstream, in milligrams, after \( t \) hours is modeled by the function \( f(t) = 300(0.89)^t \).

What is the amount of caffeine left in the bloodstream of a human body after 10 hours?

A. 26.4 milligrams
B. 38.1 milligrams
C. 43.6 milligrams
D. 118.1 milligrams

Answer :

Final answer:

The amount of caffeine left in the bloodstream after 10 hours is approximately a. 26.4 milligrams.

Explanation:

To find the amount of caffeine left in the bloodstream after 10 hours, we need to substitute t = 10 into the function f(t).

So, f(10) = 300(0.89)^10.

Using a calculator, we can calculate this as approximately 26.4 milligrams.

Therefore, the amount of caffeine left in the bloodstream after 10 hours is 26.4 milligrams (option a).

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