High School

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? (1 fl. oz. = 29.6 mL)

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

Answer :

We begin by noting that the conversion factor is given as:
[tex]$$
1\ \text{fl. oz.} = 29.6\ \text{mL}
$$[/tex]

Given the sugar solution has a volume of [tex]$1.32\ \text{fl. oz.}$[/tex], we can calculate the volume in milliliters by multiplying 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 answer is typically rounded to one decimal place, we round [tex]$39.072\ \text{mL}$[/tex] to:

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

Thus, the amount of the solution in the metric system is [tex]$\boxed{39.1\ \text{mL}}$[/tex].