Answer :
Sure, let's break down the solution step-by-step:
1. Determine the Cost of a Single Bottle:
You have a bottle of wine that costs [tex]$8.99.
2. Volume of One Bottle:
Each bottle contains 750 milliliters of wine.
3. Convert the Volume of One Bottle to Fluid Ounces:
We know that 1 fluid ounce is approximately 29.5735 milliliters. Therefore, to find out how many fluid ounces are in a 750 milliliter bottle, we use the conversion:
\[
\frac{750 \text{ milliliters}}{29.5735 \text{ milliliters/ounce}} \approx 25.36 \text{ fluid ounces}
\]
4. Calculate the Cost Per Fluid Ounce:
We need to determine the cost per fluid ounce. The cost per fluid ounce is:
\[
\frac{8.99 \text{ dollars}}{25.36 \text{ fluid ounces}} \approx 0.354 \text{ dollars/ounce}
\]
5. Determine the Volume of One Serving:
Each serving is 5 fluid ounces.
6. Calculate the Cost of a 5 Fluid Ounce Serving:
Using the cost per fluid ounce and the volume of the serving:
\[
0.354 \text{ dollars/ounce} \times 5 \text{ ounces} \approx 1.77 \text{ dollars}
\]
Therefore, the cost for a 5 fluid ounce serving of wine is approximately \( \$[/tex]1.77 \). Given the multiple-choice options, the closest value is:
[tex]\( \boxed{1.78 \text{ dollars per serving}} \)[/tex]
So the correct answer is:
Od. $1.78 per serving
1. Determine the Cost of a Single Bottle:
You have a bottle of wine that costs [tex]$8.99.
2. Volume of One Bottle:
Each bottle contains 750 milliliters of wine.
3. Convert the Volume of One Bottle to Fluid Ounces:
We know that 1 fluid ounce is approximately 29.5735 milliliters. Therefore, to find out how many fluid ounces are in a 750 milliliter bottle, we use the conversion:
\[
\frac{750 \text{ milliliters}}{29.5735 \text{ milliliters/ounce}} \approx 25.36 \text{ fluid ounces}
\]
4. Calculate the Cost Per Fluid Ounce:
We need to determine the cost per fluid ounce. The cost per fluid ounce is:
\[
\frac{8.99 \text{ dollars}}{25.36 \text{ fluid ounces}} \approx 0.354 \text{ dollars/ounce}
\]
5. Determine the Volume of One Serving:
Each serving is 5 fluid ounces.
6. Calculate the Cost of a 5 Fluid Ounce Serving:
Using the cost per fluid ounce and the volume of the serving:
\[
0.354 \text{ dollars/ounce} \times 5 \text{ ounces} \approx 1.77 \text{ dollars}
\]
Therefore, the cost for a 5 fluid ounce serving of wine is approximately \( \$[/tex]1.77 \). Given the multiple-choice options, the closest value is:
[tex]\( \boxed{1.78 \text{ dollars per serving}} \)[/tex]
So the correct answer is:
Od. $1.78 per serving
