College

Rebekah finds that a solution of sugar in water has a volume of [tex]$1.32 \, \text{fl. oz}$[/tex]. How should she report this amount using the metric system?

([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 volume of a solution from fluid ounces to milliliters, you can follow these steps:

1. Identify the conversion factor: The problem states that 1 fluid ounce is equivalent to 29.6 milliliters.

2. Find the volume in fluid ounces: Rebekah has a solution with a volume of 1.32 fluid ounces.

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

4. Choose the closest answer: From the given options, the one that matches this calculation is:
- 39.1 mL

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