A patient is drinking [tex]$3 \frac{1}{4}$[/tex] cups of milk every 3 hours. If the patient continues at that rate, how many milliliters of milk will the patient drink in 6 hours?

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

Options for labels:
- tsp
- mL
- TBSP
- fl oz

To find out how many milliliters of milk a patient drinks in 6 hours, let's break it down step-by-step.

1. Determine the Amount of Milk Consumed Every 3 Hours:
The patient drinks [tex]$3 \frac{1}{4}$[/tex] cups of milk every 3 hours. We can convert this mixed number to an improper fraction for easier calculations:
[tex]\[
3 \frac{1}{4} = \frac{12}{4} + \frac{1}{4} = \frac{13}{4} \text{ cups}
\][/tex]

2. Find the Amount of Milk Consumed Per Hour:
To find out how much the patient drinks per hour, divide the 3-hour amount by 3:
[tex]\[
\text{Milk per hour} = \frac{13}{4} \div 3 = \frac{13}{4} \times \frac{1}{3} = \frac{13}{12} \text{ cups per hour}
\][/tex]

3. Calculate the Total Amount of Milk for 6 Hours:
Since the patient drinks [tex]$\frac{13}{12}$[/tex] cups every hour, for 6 hours, they will drink:
[tex]\[
\text{Total cups in 6 hours} = 6 \times \frac{13}{12} = \frac{78}{12} = 6.5 \text{ cups}
\][/tex]

4. Convert Cups to Milliliters:
We use the conversion factor that 1 cup equals 236.588 milliliters. Thus, to convert 6.5 cups to milliliters:
[tex]\[
\text{Total milliliters} = 6.5 \times 236.588 = 1537.822 \text{ mL}
\][/tex]

Therefore, the patient will drink approximately 1537.822 milliliters of milk in 6 hours.