Answer:
The best approximation is the point
Step-by-step explanation:
we know that
Observing the figure
The x-coordinate of the relative maximum belong to the interval ---->
The y-coordinate of the relative maximum belong to the interval ---->
see the attached figure to better understand the problem
therefore
The best approximation is the point
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:
In which:
In this problem:
Then:
Item a:
The coffee cup contains 150 milligrams of caffeine, hence .
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936