Water flows through a pipe at a rate of 2 quarts per year. Express this rate of flow in pints per day. Round your answer to the nearest hundredth.

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

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

Absolutely! Let's work through this problem step by step to find out how to convert the rate of flow from quarts per year to pints per day.

1. Start with the given rate:

The rate of flow is given as 2 quarts per year.

2. Convert quarts to pints:

- We know from the conversion table that 1 quart equals 2 pints.
- So, to convert quarts to pints, multiply the number of quarts by 2.

[tex]\[
2 \, \text{quarts/year} \times 2 \, \text{pints/quart} = 4 \, \text{pints/year}
\][/tex]

3. Convert the time from years to days:

- We know there are 365 days in a year.
- To find out how many pints flow per day, divide the annual flow in pints by the number of days in a year.

[tex]\[
\frac{4 \, \text{pints/year}}{365 \, \text{days/year}} = 0.010958904109589041 \, \text{pints/day}
\][/tex]

4. Round the answer:

- Round the flow rate to the nearest hundredth.

[tex]\[
0.010958904109589041 \approx 0.01 \, \text{pints/day}
\][/tex]

So, the rate of flow is approximately 0.01 pints per day. This helps you convert a yearly flow rate into a daily flow rate in a different unit of measurement.