Rebekah finds that a solution of sugar in water has a volume of 1.32 fl. oz. How should she report this amount using the metric system?

Given: [tex]$1 \text{ fl. oz. } = 29.6 \text{ mL}$[/tex]

A. 0.403 m
B. 1.40 qt
C. 37.5 g
D. 39.1 mL

Answer :

To convert the given volume of sugar solution from fluid ounces to milliliters, you need to follow these steps:

1. Identify the initial volume in fluid ounces:
- Rebekah's solution has a volume of 1.32 fluid ounces.

2. Know the conversion factor:
- 1 fluid ounce is equivalent to 29.6 milliliters.

3. Perform the calculation:
- Multiply the volume in fluid ounces by the conversion factor to get the volume in milliliters.
- Calculation: [tex]\( 1.32 \, \text{fl. oz} \times 29.6 \, \text{mL/fl. oz} = 39.072 \, \text{mL} \)[/tex]

4. Round to an appropriate number of significant figures if necessary:
- For practical purposes, it is common to round to one or two decimal places. However, given choices are specific.
- Therefore, [tex]\( 39.072 \)[/tex] mL is approximately [tex]\( 39.1 \)[/tex] mL when rounded to one decimal place.

So, Rebekah should report the volume of the solution as 39.1 mL in the metric system.

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