Final answer:
To find out how many mL of syrup corresponds to a 150 mg dose, we use a proportion based on the given concentration. The calculation shows that the client should take 15.0 mL of syrup per dose.
Step-by-step explanation:
The question involves calculating the volume of syrup a client should take based on the dosage prescribed by the medication label. The medication is compounded into a syrup with a concentration of 50 mg per 5 mL. Given the dosage of 150 mg per dose, we need to determine how many mL corresponds to this amount.
To find the answer, we set up a proportion where 50 mg corresponds to 5 mL, so 150 mg corresponds to x mL: 50 mg / 5 mL = 150 mg / x mL Multiplying both sides by x and then dividing by 50 mg gives us: x = (150 mg / 50 mg) × 5 mL x = 3 × 5 mL. x = 15 mL. Therefore, the client should take 15.0 mL of the syrup per dose, which is rounded to the nearest tenth as per the instructions.