College

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 at
C. 37.5 g
D. 39.1 mL

Answer :

Sure, let's solve the problem step by step.

Rebekah needs to convert the volume from fluid ounces (f. oz) to milliliters (mL). We have the conversion factor:
[tex]\(1 \text{ fluid ounce} = 29.6 \text{ mL}\)[/tex].

The volume of the sugar solution she has is:
[tex]\(1.32 \text{ f. oz}\)[/tex].

To find out how many milliliters this corresponds to, we multiply the volume in fluid ounces by the conversion factor:
[tex]\[
\text{Volume in mL} = \text{Volume in f. oz} \times 29.6 \text{ mL/f. oz}
\][/tex]

Now, plug in the value:
[tex]\[
\text{Volume in mL} = 1.32 \times 29.6
\][/tex]

This gives:
[tex]\[
\text{Volume in mL} = 39.072 \text{ mL}
\][/tex]

Looking at the given options:
0.403 m
1.40 at
37.5 g
39.1 mL

We can see that the closest value to 39.072 mL is:
[tex]\[
39.1 \text{ mL}
\][/tex]

So, Rebekah should report the amount as:
[tex]\[
39.1 \text{ mL}
\][/tex]