Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

Question was provided via image upload.

Question

Question was provided via image upload.

Explanation:

Identify the given values and target conversion

The problem asks us to convert a volume of \(2\text{ liters}\) of IV fluid into quarts. The final answer should be rounded to the nearest hundredth.

Although the reference table is cut off in the image, standard conversion factors between liters and quarts are typically provided in such curricula. We will use the standard conversion factor:

$$1\text{ liter} \approx 1.05669\text{ quarts}$$

(or \(1\text{ quart} \approx 0.946353\text{ liters}\)). Let's perform the calculation using both common conversion factors to ensure accuracy.

Apply unit conversion factors

Using the Unit Conversion concept from the Metric System to the U.S. Customary System:

If using \(1\text{ L} \approx 1.06\text{ qt}\) (a very common textbook approximation):

$$2\text{ L} \times 1.06\text{ qt/L} = 2.12\text{ quarts}$$

If using the more precise conversion factor \(1\text{ L} \approx 1.0567\text{ qt}\):

$$2\text{ L} \times 1.0567\text{ qt/L} = 2.1134\text{ quarts}$$

Rounding \(2.1134\) to the nearest hundredth gives:

$$2.11\text{ quarts}$$

If using the conversion \(1\text{ qt} \approx 0.95\text{ L}\):

$$2\text{ L} \div 0.95\text{ L/qt} \approx 2.1053\text{ quarts} \approx 2.11\text{ quarts}$$

If using the conversion \(1\text{ qt} \approx 0.946\text{ L}\):

$$2\text{ L} \div 0.946\text{ L/qt} \approx 2.1142\text{ quarts} \approx 2.11\text{ quarts}$$

Since multiple standard conversion pathways round to \(2.11\text{ quarts}\), this is the most robust and accurate value.

Round to the nearest hundredth

The calculated value is:

$$2.11\text{ quarts}$$

Answer:

\(2.11\text{ quarts}\)