Question

a drug is injected into a patient and the concentration of the drug in the bloodstream is monitored. the drugs concentration, y, in milligrams per liter, after x hours is modeled by the formula below. the graph of this equation, obtained with a graphing utility, is shown in the figure in a 0,10,1 by 0,3,1 viewing rectangle.
y = \frac{6x}{x^{2}+3}
use the equation to find the drugs concentration after 1 hour.
□ milligram(s) per liter
(type an integer or a decimal.)

Explanation:

Step1: Substitute x = 1 into the formula

Substitute \(x = 1\) into \(y=\frac{6x}{x^{2}+3}\).
So \(y=\frac{6\times1}{1^{2}+3}\).

Step2: Calculate the denominator

Calculate \(1^{2}+3\).
\(1^{2}+3=1 + 3=4\).

Step3: Calculate the value of y

Calculate \(\frac{6\times1}{4}\).
\(y=\frac{6}{4}=1.5\).

Answer:

1.5