Water flows through a pipe at a rate of 5 pints per minute. Express this rate of flow in cups per day.

Note: You must use these exact conversion factors to get this question right.

\[
\begin{array}{|l|l|}
\hline
\text{Volume} & \text{Time} \\
\hline
1 \text{ cup (cup)} = 8 \text{ fluid ounces (fl oz)} & 1 \text{ minute (min)} = 60 \text{ seconds (sec)} \\
\hline
1 \text{ pint (pt)} = 2 \text{ cups (cups)} & 1 \text{ hour (hr)} = 60 \text{ minutes (min)} \\
\hline
1 \text{ quart (qt)} = 2 \text{ pints (pt)} & 1 \text{ day (day)} = 24 \text{ hours (hr)} \\
\hline
1 \text{ gallon (gal)} = 4 \text{ quarts (qt)} & 1 \text{ week (week)} = 7 \text{ days (days)} \\
\hline
1 \text{ cubic foot (ft}^3\text{)} = 7.481 \text{ gallons (gal)} & 1 \text{ month (month)} = 30 \text{ days (days)} \\
\hline
1 \text{ liter (L)} = 1000 \text{ milliliters (mL)} & 1 \text{ year (year)} = 365 \text{ days (days)} \\
\hline
1 \text{ cubic meter (m}^3\text{)} = 1000 \text{ liters (L)} & \\
\hline
1 \text{ gallon (gal)} = 3.785 \text{ liters (L)} & \\
\hline
1 \text{ fluid ounce (fl oz)} = 29.574 \text{ milliliters (mL)} & \\
\hline
\end{array}
\]

Certainly! Let's break down the problem step-by-step to express the rate of flow from pints per minute to cups per day.

Step 1: Understanding the given rate

We are given that water flows through a pipe at a rate of 5 pints per minute.

Step 2: Convert pints to cups

From the conversion table, we know:
1 pint (pt) = 2 cups (cups)

So,
5 pints per minute 2 cups per pint = 10 cups per minute

Step 3: Convert cups per minute to cups per hour

Since,
1 hour = 60 minutes,
we multiply our rate in cups per minute by the number of minutes in an hour:

10 cups per minute 60 minutes per hour = 600 cups per hour

Step 4: Convert cups per hour to cups per day

Finally,
1 day = 24 hours,
so we multiply our rate in cups per hour by the number of hours in a day:

600 cups per hour * 24 hours per day = 14400 cups per day

Conclusion:

The rate of flow from the pipe is 14400 cups per day.