a medication is administered to a patient and the concentration of the medication in the bloodstream is…

a medication is administered to a patient and the concentration of the medication in the bloodstream is monitored. at time t≥0 (in hours since giving the medication) the concentration, in mg/l, is modeled by the graph of the rational function on the right. approximately when does the medication reach half of its highest concentration in the patients bloodstream?\n1 hour\n1 hour, 15 minutes\n3 hours\n3 hours, 45 minutes\ndone

a medication is administered to a patient and the concentration of the medication in the bloodstream is monitored. at time t≥0 (in hours since giving the medication) the concentration, in mg/l, is modeled by the graph of the rational function on the right. approximately when does the medication reach half of its highest concentration in the patients bloodstream?\n1 hour\n1 hour, 15 minutes\n3 hours\n3 hours, 45 minutes\ndone

Answer

Explanation:

Step1: Identify the highest concentration

By observing the graph, the highest concentration of the medication in the bloodstream is approximately 3 mg/L.

Step2: Calculate half - of the highest concentration

Half of 3 mg/L is $\frac{3}{2}=1.5$ mg/L.

Step3: Find the time on the graph

Looking at the graph, when the concentration is 1.5 mg/L, the time is approximately 1 hour and 15 minutes.

Answer:

1 hour, 15 minutes