Answer :
To solve this problem, we need to determine how many milliliters of milk the patient will drink over a 6-hour period, given their drinking pattern and using appropriate unit conversions.
1. Understand the Patient's Drinking Rate:
- The patient drinks [tex]\(2 \frac{3}{4}\)[/tex] cups of milk every 2 hours.
- First, convert the mixed number [tex]\(2 \frac{3}{4}\)[/tex] into an improper fraction. This mixed number is equivalent to [tex]\(2 + \frac{3}{4} = \frac{11}{4}\)[/tex] cups.
2. Calculate Milk Consumption per Hour:
- Since the patient drinks [tex]\(\frac{11}{4}\)[/tex] cups every 2 hours, we find the hourly rate by dividing by 2:
[tex]\[
\frac{11}{4} \div 2 = \frac{11}{8} \text{ cups per hour}
\][/tex]
- This is approximately 1.375 cups per hour.
3. Find Total Cups in 6 Hours:
- To find out how many cups the patient drinks in 6 hours, multiply the hourly rate by 6:
[tex]\[
\frac{11}{8} \times 6 = \frac{66}{8} = 8.25 \text{ cups in 6 hours}
\][/tex]
4. Convert Cups to Milliliters:
- Use the standard conversion where 1 cup equals 240 milliliters. Therefore, convert 8.25 cups to milliliters:
[tex]\[
8.25 \times 240 = 1980 \text{ milliliters}
\][/tex]
The patient will drink 1980 milliliters of milk in 6 hours. Therefore, the correct label for your answer is:
1980 mL
1. Understand the Patient's Drinking Rate:
- The patient drinks [tex]\(2 \frac{3}{4}\)[/tex] cups of milk every 2 hours.
- First, convert the mixed number [tex]\(2 \frac{3}{4}\)[/tex] into an improper fraction. This mixed number is equivalent to [tex]\(2 + \frac{3}{4} = \frac{11}{4}\)[/tex] cups.
2. Calculate Milk Consumption per Hour:
- Since the patient drinks [tex]\(\frac{11}{4}\)[/tex] cups every 2 hours, we find the hourly rate by dividing by 2:
[tex]\[
\frac{11}{4} \div 2 = \frac{11}{8} \text{ cups per hour}
\][/tex]
- This is approximately 1.375 cups per hour.
3. Find Total Cups in 6 Hours:
- To find out how many cups the patient drinks in 6 hours, multiply the hourly rate by 6:
[tex]\[
\frac{11}{8} \times 6 = \frac{66}{8} = 8.25 \text{ cups in 6 hours}
\][/tex]
4. Convert Cups to Milliliters:
- Use the standard conversion where 1 cup equals 240 milliliters. Therefore, convert 8.25 cups to milliliters:
[tex]\[
8.25 \times 240 = 1980 \text{ milliliters}
\][/tex]
The patient will drink 1980 milliliters of milk in 6 hours. Therefore, the correct label for your answer is:
1980 mL
