There's often a need to round up or down a calculated dose volume before drawing it into a syringe. Which of the following descriptions represents the largest increase in dose?

A. 2.34 mL rounded up to 2.4 mL
B. 3.66 mL rounded up to 4 mL
C. 0.456 mL rounded up to 0.5 mL
D. 0.952 mL rounded up to 1 mL



Answer :

Let's break down the problem step-by-step to determine which dosage represents the largest increase:

1. Identify the original doses and the rounded doses:

- Dose 1: 2.34 mL rounded up to 2.4 mL
- Dose 2: 3.66 mL rounded up to 4 mL
- Dose 3: 0.456 mL rounded up to 0.5 mL
- Dose 4: 0.952 mL rounded up to 1 mL

2. Calculate the increase for each dose:

- Dose 1:
[tex]\[ \text{Increase} = 2.4 \text{ mL} - 2.34 \text{ mL} = 0.06 \text{ mL} \][/tex]
- Dose 2:
[tex]\[ \text{Increase} = 4.0 \text{ mL} - 3.66 \text{ mL} = 0.34 \text{ mL} \][/tex]
- Dose 3:
[tex]\[ \text{Increase} = 0.5 \text{ mL} - 0.456 \text{ mL} = 0.044 \text{ mL} \][/tex]
- Dose 4:
[tex]\[ \text{Increase} = 1.0 \text{ mL} - 0.952 \text{ mL} = 0.048 \text{ mL} \][/tex]

3. Compare the increases to identify the largest one:

- Increase from Dose 1: 0.06 mL
- Increase from Dose 2: 0.34 mL
- Increase from Dose 3: 0.044 mL
- Increase from Dose 4: 0.048 mL

4. Determine the largest increase:

By comparing the increases, 0.34 mL is the largest increase.

Therefore, the description that represents the largest increase in dose is:
3.66 mL rounded up to 4 mL.