To determine how many milliliters (mL) to administer based on the given order and stock information, follow these steps:
1. Understand the Given Information:
- The dose ordered is 1.5 grams (g) of drug [tex]\(A B C\)[/tex].
- The stock concentration is 2500 milligrams (mg) of [tex]\(A B C\)[/tex] in 2 milliliters (mL) of solution.
2. Convert the Dose Ordered to Milligrams:
- Since 1 gram (g) equals 1000 milligrams (mg), convert the ordered dose from grams to milligrams.
- [tex]\(1.5 \, \text{g} \times 1000 = 1500 \, \text{mg}\)[/tex]
3. Determine the Volume Needed:
- Use the stock concentration to find out how many milliliters contain the required dose.
- The stock concentration states that 2500 mg is contained in 2 mL.
- Set up a proportion to solve for the required volume (V) that contains 1500 mg:
[tex]\[
\frac{2500 \, \text{mg}}{2 \, \text{mL}} = \frac{1500 \, \text{mg}}{V \, \text{mL}}
\][/tex]
4. Solve the Proportion:
- Cross-multiply and solve for [tex]\(V\)[/tex]:
[tex]\[
2500 \, \text{mg} \times V = 1500 \, \text{mg} \times 2 \, \text{mL}
\][/tex]
[tex]\[
2500V = 3000
\][/tex]
[tex]\[
V = \frac{3000}{2500}
\][/tex]
5. Calculate the Volume:
- Simplify the division:
[tex]\[
V = 1.2 \, \text{mL}
\][/tex]
The correct volume to administer is 1.2 mL. Therefore, the answer is:
d. [tex]\(\quad 1.2 \, \text{mL}\)[/tex]
