Questions: The nurse needs to convert milliliters to ounces. Which conversion factor is correct? 1 oz / 10 mL 1 oz / 15 mL 30 mL / 1 oz 10 mL / 1 oz

The nurse needs to convert milliliters to ounces. Which conversion factor is correct? 1 oz / 10 mL 1 oz / 15 mL 30 mL / 1 oz 10 mL / 1 oz
Transcript text: The nurse needs to convert milliliters to ounces. Which conversion factor is correct? $\frac{1 \mathrm{oz}}{10 \mathrm{~mL}}$ $\frac{1 \mathrm{oz}}{15 \mathrm{~mL}}$ $\frac{30 \mathrm{~mL}}{1 \mathrm{oz}}$ $\frac{10 \mathrm{~mL}}{1 \mathrm{oz}}$
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Solution

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Solution Steps

To determine the correct conversion factor from milliliters to ounces, we need to know the standard conversion rate between these two units. The standard conversion is that 1 ounce is approximately equal to 29.5735 milliliters. We will compare this standard conversion to the given options to identify the correct conversion factor.

Step 1: Identify the Standard Conversion Factor

The standard conversion factor between milliliters and ounces is approximately \(1 \, \text{oz} = 29.5735 \, \text{mL}\). This means that the conversion factor from milliliters to ounces is \(\frac{1 \, \text{oz}}{29.5735 \, \text{mL}}\).

Step 2: Compare Given Conversion Factors

We are given the following conversion factors to compare with the standard:

  • \(\frac{1 \, \text{oz}}{10 \, \text{mL}}\)
  • \(\frac{1 \, \text{oz}}{15 \, \text{mL}}\)
  • \(\frac{30 \, \text{mL}}{1 \, \text{oz}}\)
  • \(\frac{10 \, \text{mL}}{1 \, \text{oz}}\)
Step 3: Determine the Correct Conversion Factor

To find the correct conversion factor, we need to identify which of the given options is closest to the standard conversion factor \(\frac{1 \, \text{oz}}{29.5735 \, \text{mL}}\).

  • \(\frac{1 \, \text{oz}}{10 \, \text{mL}} = 0.1 \, \text{oz/mL}\)
  • \(\frac{1 \, \text{oz}}{15 \, \text{mL}} = 0.0667 \, \text{oz/mL}\)
  • \(\frac{30 \, \text{mL}}{1 \, \text{oz}} = 30 \, \text{mL/oz}\)
  • \(\frac{10 \, \text{mL}}{1 \, \text{oz}} = 10 \, \text{mL/oz}\)

The correct conversion factor should be close to \(\frac{1}{29.5735} \approx 0.0338 \, \text{oz/mL}\) or its reciprocal \(29.5735 \, \text{mL/oz}\).

Final Answer

\(\boxed{\frac{30 \, \text{mL}}{1 \, \text{oz}}}\)

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