Final answer:
To find the daily volume of Sudafed required, divide the 30mg dosage by the 15mg/mL concentration to get 2 mL per dose. Then, multiply by the four daily doses to obtain 8 mL per day.
Step-by-step explanation:
The student is required to determine the daily volume of Sudafed in milliliters that their mother needs to take, given that the dosage is 30mg four times per day and the concentration is 15mg per mL.
First, we calculate the amount of Sudafed needed per dose:
Dosage per intake = 30mg
Since the Sudafed is available in a concentration of 15mg per mL, we divide the dosage per intake by the concentration to get the volume per dose:
Volume per intake = Dosage per intake / Concentration
Volume per intake = 30mg / 15mg per mL
Volume per intake = 2 mL
Next, we multiply the volume per intake by the number of times the medication is taken daily:
Daily volume = Volume per intake * 4 intakes per day
Daily volume = 2 mL * 4
Daily volume = 8 mL
Therefore, the mother will need 8 mL of Sudafed each day.