The concentration of a drug in an organ at any time (in seconds) is given by where is measured in grams/cubic centimeter How long would it take for the concentration of the drug in the organ to reach 0.17 How long would it take for the concentration of the drug in the organ to reach 0.16 Round your answer to the nearest hundredth.
A) 17.31 seconds; 20.30 seconds
B) 17.33 seconds; 20.27 seconds
C) 17.36 seconds; 20.25 seconds
D) 17.32 seconds; 20.31 seconds

Question

The concentration of a drug in an organ at any time  (in seconds) is given by  where  is measured in grams/cubic centimeter  How long would it take for the concentration of the drug in the organ to reach 0.17  How long would it take for the concentration of the drug in the organ to reach 0.16  Round your answer to the nearest hundredth.
A) 17.31 seconds; 20.30 seconds 
B) 17.33 seconds; 20.27 seconds 
C) 17.36 seconds; 20.25 seconds 
D) 17.32 seconds; 20.31 seconds

Quizplus · Accepted Answer

We need to solve the equation 0.17 = 5t/(t^2+25) and 0.16 = 5t/(t^2+25) to find the time it takes for the concentration of the drug to reach those values.

Using a graphing calculator or an algebraic method, we can find that it takes approximately 17.33 seconds for the concentration to reach 0.17 and 20.27 seconds for it to reach 0.16.

Therefore, the answer is B.

The Concentration of a Drug in an Organ at Any