College

A patient is drinking [tex]2 \frac{3}{4}[/tex] cups of milk every 4 hours. If the patient continues at that rate, how many milliliters of milk will the patient drink in 8 hours?

Be sure to use the conversions you were taught in class and pick the correct label for your answer:

- tsp
- TBSP
- mL
- fl oz

Answer :

To solve the problem of how many milliliters of milk the patient will drink in 8 hours, we can proceed with the following steps:

1. Understand the rate of milk consumption:
- The patient drinks [tex]\(2 \frac{3}{4}\)[/tex] cups of milk every 4 hours.

2. Convert mixed number to an improper fraction:
- The mixed number [tex]\(2 \frac{3}{4}\)[/tex] can be converted to an improper fraction, which is [tex]\(\frac{11}{4}\)[/tex] cups. This is equivalent to 2.75 cups.

3. Calculate the milk consumed in 8 hours:
- Since the patient drinks this amount every 4 hours, we want to find out how much is consumed over 8 hours. This means we need to double the amount:
- [tex]\(2.75 \times 2 = 5.5\)[/tex] cups.

4. Convert cups to milliliters:
- We use the conversion factor: 1 cup = 236.588 milliliters.
- Therefore, [tex]\(5.5\)[/tex] cups is equivalent to [tex]\(5.5 \times 236.588 = 1301.234\)[/tex] milliliters.

Therefore, the patient will drink approximately 1301.234 milliliters of milk in 8 hours. The correct label for the answer is "mL."