Problem 9 - Algebra A Combined Function

Question

The freezing point of water is \(32^{\circ}\) Fahrenheit. The boiling point of water is \(212^{\circ}\) Fahrenheit. Write an inequality statement using \(<\) or \(>\) comparing the numbers 32 and 212 .

Step-by-Step Solution

Answer

32 < 212

Step 1: Understanding the Problem

We need to compare the freezing point and boiling point of water given in degrees Fahrenheit. Specifically, we need to determine whether 32 is greater than or less than 212.

Step 2: Identifying the Values

The freezing point of water is given as 32 degrees Fahrenheit, and the boiling point is given as 212 degrees Fahrenheit. Let's denote the freezing point as 32 and the boiling point as 212.

Step 3: Setting Up an Inequality

To determine the correct inequality, we need to compare these two values. Since the freezing point (32) is obviously lower than the boiling point (212), we can say that 32 is less than 212.

Step 4: Writing the Inequality Statement

The appropriate inequality statement to represent that 32 is less than 212 is: \[ 32 < 212 \]

Key Concepts

Freezing Point

The freezing point is a crucial temperature for understanding the state changes in water. For water, this point is specifically at 32 degrees Fahrenheit, where liquid water turns into solid ice. When the environment's temperature drops to or falls below this threshold, we observe the formation of ice, making this an important temperature to monitor in everyday life.

• Ice forms at or below this temperature.
• It is often a reference point for weather conditions.
• Important for understanding refrigeration and various scientific processes.

To better understand this concept, consider how important the freezing point is in contexts such as food preservation and weather forecasting. Knowing at what temperature water will freeze helps us prepare for colder climates and maintain everyday activities without disruption.

Boiling Point

The boiling point of water is equally significant as the freezing point, but it represents the opposite transition—from liquid to gas. At 212 degrees Fahrenheit, water reaches this threshold, commencing the boiling process. This is when water begins to change into vapor, escaping as steam.

• Boiling occurs at this point when heat energy is fully absorbed.
• It's an essential concept in cooking, refrigeration, and chemical reactions.
• Used as a standard for calibrating certain instruments.

Understanding the boiling point is key in cooking and industrial processes. For instance, it can affect cooking times and outcomes, as well as how energy is used efficiently in various technologies.

Fahrenheit Temperature

The Fahrenheit temperature scale is one of the systems used to measure temperature, with the freezing and boiling points of water serving as foundational points. It is primarily used in the United States and a few other countries for daily temperature readings.

• The scale starts at 32 degrees for freezing.
• Ends at 212 degrees for boiling.
• Allows for precise weather, medical, and culinary temperature measurements.

The use of Fahrenheit can sometimes be confusing in a world where Celsius is more commonly used. However, understanding this scale is essential for correctly interpreting common weather forecasts and cooking instructions in countries that utilize this system. It helps frame our understanding of temperature in familiar terms, as part of a broader cultural and scientific context.