Final answer:
To calculate the required volume of s-matriptan succinate for a 4 mg dose using a vial labeled 6 mg/0.5 ml, a simple ratio is used and solved by cross-multiplication. After calculations, the nurse should administer 0.33 ml of the medication, which is rounded to the nearest hundredth.
Step-by-step explanation:
The student is tasked with calculating the required volume of s-matriptan succinate for an injection. The prescription calls for a 4 mg dose, and it's provided in a vial labeled as 6 mg in 0.5 ml. To find how many milliliters should be administered, we can set up a simple ratio:
6 mg is to 0.5 ml
as
4 mg is to x ml
By cross-multiplication, we get:
6 mg * x ml = 4 mg * 0.5 ml
Now solving for x:
x = (4 mg * 0.5 ml) / 6 mg
x = 2 mg*ml / 6 mg
x = 0.3333 ml
After rounding to the nearest hundredth, we obtain:
x = 0.33 ml
So, the nurse should administer 0.33 ml of s-matriptan succinate.