Question

As a cure for the epidemic that spread throughout the country, the Department of Health (DOH) released a new drug that is subject to experimentation. Suppose that c(t) = 2t/(t + 2) (in mg/ml) represents the concentration of a drug in a patient's bloodstream in t hours, how concentrated is the drug after 2 hours of administration?

a. 1 mg/ml
b. 1.33 mg/ml
c. 1.5 mg/ml
d. 2 mg/ml

Answer 1

The concentration of the drug after 2 hours is found to be 1 mg/ml by substituting t=2 into the function c(t) = 2t/(t + 2) and simplifying the expression.

Step-by-step explanation:

To determine the concentration of the drug after 2 hours of administration, we can plug the value of t=2 into the given concentration function c(t) = 2t/(t + 2).

Step 1: Substitute t with 2 into the formula:

c(2) = 2*2/(2 + 2)

Step 2: Compute the concentration:

c(2) = 4/4 = 1 mg/ml

Therefore, the concentration of the drug after 2 hours is 1 mg/ml, which corresponds to option a.