Question

a dosage of q units of a certain drug is administered to an individual every four hours. assume that the body eliminates 75 percent of the drug after four hours. what is the concentration of the drug after 48 hours

Answer 1

To calculate the concentration of the drug after 48 hours, multiply the original dosage by the remaining percentage after each 4-hour cycle.

Step-by-step explanation:

To calculate the concentration of the drug after 48 hours, we need to consider the elimination rate and the dosage administered. Since the body eliminates 75 percent of the drug after every 4 hours, we first need to calculate the remaining drug concentration after each 4-hour period.

After 4 hours, 25% of the drug remains. After the next 4 hours, 25% of the remaining 25% remains, which is 6.25% of the original dosage. This process continues for a total of 12 cycles (48 hours / 4 hours per cycle).

Using exponential decay, we can calculate the concentration of the drug after 48 hours by multiplying the original dosage by the remaining percentage after each cycle. So, the concentration of the drug after 48 hours is:

Concentration after 48 hours = Original dosage * Remaining percentage after 12 cycles