Step 1 :The problem is asking for the volume of phenylephrine to be administered to the patient. The dosage ordered by the physician is 1.7 milligrams, and the concentration of the drug is 6 milligrams per milliliter. To find the volume, we need to divide the dosage by the concentration.
Step 2 :Let's denote the dosage as \(d\), the concentration as \(c\), and the volume as \(v\).
Step 3 :We know that \(d = 1.7\) milligrams and \(c = 6\) milligrams per milliliter.
Step 4 :We can find the volume by using the formula \(v = \frac{d}{c}\).
Step 5 :Substituting the given values into the formula, we get \(v = \frac{1.7}{6} = 0.2833333333333333\).
Step 6 :The volume of phenylephrine to be administered to the patient is approximately 0.283 milliliters.
Step 7 :Final Answer: \(\boxed{0.283}\) milliliters.