Thank you for visiting For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To answer the question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents.
Here’s a detailed breakdown:
1. Understanding the Variables:
- [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex]: This corresponds to the temperature in degrees Celsius that is calculated from the temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
2. Function Analysis:
- The equation [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a commonly used formula to convert temperatures from Fahrenheit to Celsius.
3. Conversion Context:
- The expression [tex]\( \frac{5}{9}(F - 32) \)[/tex] transforms a given Fahrenheit temperature [tex]\( F \)[/tex] into a temperature in degrees Celsius.
4. Correct Interpretation:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
From the options given:
- Option 1: The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is correct.
- Option 2: The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect because [tex]\( F \)[/tex] should be in Fahrenheit.
- Option 3: The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is incorrect because it refers to converting [tex]\( C \)[/tex] (which is Celsius in the function) back to Celsius.
- Option 4: The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect as it refers to converting [tex]\( C \)[/tex] (Celsius) to Fahrenheit.
Therefore, the accurate statement is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This matches with Option 1.
Here’s a detailed breakdown:
1. Understanding the Variables:
- [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex]: This corresponds to the temperature in degrees Celsius that is calculated from the temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
2. Function Analysis:
- The equation [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a commonly used formula to convert temperatures from Fahrenheit to Celsius.
3. Conversion Context:
- The expression [tex]\( \frac{5}{9}(F - 32) \)[/tex] transforms a given Fahrenheit temperature [tex]\( F \)[/tex] into a temperature in degrees Celsius.
4. Correct Interpretation:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
From the options given:
- Option 1: The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is correct.
- Option 2: The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect because [tex]\( F \)[/tex] should be in Fahrenheit.
- Option 3: The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is incorrect because it refers to converting [tex]\( C \)[/tex] (which is Celsius in the function) back to Celsius.
- Option 4: The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect as it refers to converting [tex]\( C \)[/tex] (Celsius) to Fahrenheit.
Therefore, the accurate statement is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This matches with Option 1.
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Rewritten by : Jeany