High School

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 in 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 [tex]$1.32$[/tex] fluid ounces to milliliters, we use the conversion factor given by

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

First, multiply the volume in fluid ounces by the conversion factor:

[tex]$$
1.32 \text{ fl oz} \times 29.6 \frac{\text{mL}}{\text{fl oz}} = 39.072 \text{ mL}.
$$[/tex]

Since the result is rounded to one decimal place, we round [tex]$39.072 \text{ mL}$[/tex] to:

[tex]$$
39.1 \text{ mL}.
$$[/tex]

Thus, Rebekah should report the metric volume as [tex]$\boxed{39.1 \text{ mL}}$[/tex].

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