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 :
Certainly! Let's break this down step-by-step to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents.
1. Identify 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.
2. Understanding Inputs and Outputs:
- Input (F): This is the temperature in degrees Fahrenheit—the value you start with.
- Output/C(F): This is what the function calculates and provides you with, which is the temperature in degrees Celsius.
3. Purpose of the Function: The entire purpose of this function is to take a temperature reading in Fahrenheit (input, [tex]\( F \)[/tex]) and convert it to Celsius (output, [tex]\( C(F) \)[/tex]).
4. Verifying What [tex]\( C(F) \)[/tex] Represents:
- The function name [tex]\( C \)[/tex] suggests it’s about Celsius because [tex]\( C \)[/tex] is commonly used to denote temperature in degrees Celsius.
- The expression inside the function takes an [tex]\( F \)[/tex] value (Fahrenheit) and converts it to Celsius.
5. Choose the Correct Interpretation:
- After analyzing the components and the form of the function, the correct choice 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.
Therefore, the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] indeed represents the conversion from Fahrenheit to Celsius, where [tex]\( C(F) \)[/tex] is the temperature in Celsius and [tex]\( F \)[/tex] is the temperature in Fahrenheit.
1. Identify 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.
2. Understanding Inputs and Outputs:
- Input (F): This is the temperature in degrees Fahrenheit—the value you start with.
- Output/C(F): This is what the function calculates and provides you with, which is the temperature in degrees Celsius.
3. Purpose of the Function: The entire purpose of this function is to take a temperature reading in Fahrenheit (input, [tex]\( F \)[/tex]) and convert it to Celsius (output, [tex]\( C(F) \)[/tex]).
4. Verifying What [tex]\( C(F) \)[/tex] Represents:
- The function name [tex]\( C \)[/tex] suggests it’s about Celsius because [tex]\( C \)[/tex] is commonly used to denote temperature in degrees Celsius.
- The expression inside the function takes an [tex]\( F \)[/tex] value (Fahrenheit) and converts it to Celsius.
5. Choose the Correct Interpretation:
- After analyzing the components and the form of the function, the correct choice 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.
Therefore, the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] indeed represents the conversion from Fahrenheit to Celsius, where [tex]\( C(F) \)[/tex] is the temperature in Celsius and [tex]\( F \)[/tex] is the temperature in 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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