The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
[tex]y=100(0.5)^\frac x4[/tex]
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours. Therefore, the value can be written as,
[tex]y=100(0.5)^\frac x4\\\\y=100(0.5)^\frac{10}{4}\\\\y=100(0.5)^{2.5}\\\\y=17.677 \approx 17.7[/tex]
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
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