We're glad you stopped by 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 here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents, let's break it down step by step:
1. Identify the Variables:
- [tex]\( C(F) \)[/tex] is the output of the function.
- [tex]\( F \)[/tex] is the input to the function, representing the temperature in degrees Fahrenheit.
2. Understand the Function:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula used to convert temperatures from degrees Fahrenheit to degrees Celsius.
3. Analyze the Components:
- The part [tex]\( F - 32 \)[/tex] adjusts the input temperature in Fahrenheit by subtracting 32. This is because the freezing point of water is 32 degrees Fahrenheit, which corresponds to 0 degrees Celsius.
- Multiplying by [tex]\( \frac{5}{9} \)[/tex] is necessary to adjust the scale between Fahrenheit and Celsius, since each unit of Celsius is larger than a unit of Fahrenheit.
4. Determine What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
- It is the result we obtain after substituting a Fahrenheit temperature into the function and performing the conversion calculation.
5. Conclusion:
- Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is: it represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
So, the option that correctly describes what [tex]\( C(F) \)[/tex] represents is:
- [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
1. Identify the Variables:
- [tex]\( C(F) \)[/tex] is the output of the function.
- [tex]\( F \)[/tex] is the input to the function, representing the temperature in degrees Fahrenheit.
2. Understand the Function:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula used to convert temperatures from degrees Fahrenheit to degrees Celsius.
3. Analyze the Components:
- The part [tex]\( F - 32 \)[/tex] adjusts the input temperature in Fahrenheit by subtracting 32. This is because the freezing point of water is 32 degrees Fahrenheit, which corresponds to 0 degrees Celsius.
- Multiplying by [tex]\( \frac{5}{9} \)[/tex] is necessary to adjust the scale between Fahrenheit and Celsius, since each unit of Celsius is larger than a unit of Fahrenheit.
4. Determine What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
- It is the result we obtain after substituting a Fahrenheit temperature into the function and performing the conversion calculation.
5. Conclusion:
- Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is: it represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
So, the option that correctly describes what [tex]\( C(F) \)[/tex] represents is:
- [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
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- 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.
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