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.
1.5 milligram(s) per liter
(type an integer or a decimal.)
identify the point on the equations graph that conveys this information.
(type an ordered - pair.)

Explanation:

Step1: Substitute x = 1 into formula

We have the formula $y=\frac{6x}{x^{2}+3}$. Substitute $x = 1$ into it: $y=\frac{6\times1}{1^{2}+3}$.

Step2: Calculate the value of y

First, calculate the denominator $1^{2}+3=1 + 3=4$. Then, $y=\frac{6}{4}=1.5$.

Step3: Find the ordered - pair

The x - value represents the number of hours after injection and the y - value represents the drug concentration. So the ordered pair is $(1,1.5)$.

Answer:

1.5
$(1,1.5)$