Question

A vial of Rocephin 1 g is reconstituted with 2.1 mL of sterile water to yield 350 mg/mL. How many

mL of the medication should be given if the patient is prescribed to receive 500 mg of the
medication?
Option 1: 1.2 mL
Option 2: 1.4 mL
Option 3: 1.6 mL
Option 4: 1.8 mL

Answer 1

To find the volume of medication to administer, you set up a ratio problem and solve for x, which results in 1.4286 mL.

Step-by-step explanation:

To calculate how many milliliters of the medication should be given if the patient is prescribed to receive 500 mg of the medication, you would set it up as a ratio problem using the concentration given:

350 mg/mL = 500 mg / x mL
Solving for x gives us the volume of the medication that needs to be administered. x = 500 mg / 350 mg/mL, which simplifies to x = 1.4286 mL. Rounding this to the nearest tenth of a milliliter gives us 1.4 mL, making Option 2 the correct answer.

This is an example of dosage calculation, which is a critical skill in the field of medicine and is used by healthcare professionals to ensure the correct amount of a medication is administered.