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 solve this question, let's break down what each part of the mathematical function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] represents.
1. Function Name and Input:
- The function is named [tex]\( C \)[/tex]. This is typically used to indicate the Celsius temperature, which is what the function calculates.
- The input to the function is [tex]\( F \)[/tex], which stands for the temperature in degrees Fahrenheit.
2. Purpose of the Function:
- The main purpose of the function [tex]\( C(F) \)[/tex] is to convert a temperature given in Fahrenheit to its equivalent in Celsius. This is a standard mathematical conversion formula.
3. Understanding the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] comes from converting Fahrenheit to Celsius. The term [tex]\( F-32 \)[/tex] adjusts the Fahrenheit value to account for the offset between the two temperature scales. The multiplication by [tex]\( \frac{5}{9} \)[/tex] scales the adjusted value to the Celsius temperature.
4. What [tex]\( C(F) \)[/tex] Represents:
- Since [tex]\( C(F) \)[/tex] uses [tex]\( F \)[/tex] (Fahrenheit) as an input and outputs a temperature in Celsius, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
5. Conclusion:
- Based on the function's purpose and its mathematical expression, [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
Therefore, the correct interpretation 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. Function Name and Input:
- The function is named [tex]\( C \)[/tex]. This is typically used to indicate the Celsius temperature, which is what the function calculates.
- The input to the function is [tex]\( F \)[/tex], which stands for the temperature in degrees Fahrenheit.
2. Purpose of the Function:
- The main purpose of the function [tex]\( C(F) \)[/tex] is to convert a temperature given in Fahrenheit to its equivalent in Celsius. This is a standard mathematical conversion formula.
3. Understanding the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] comes from converting Fahrenheit to Celsius. The term [tex]\( F-32 \)[/tex] adjusts the Fahrenheit value to account for the offset between the two temperature scales. The multiplication by [tex]\( \frac{5}{9} \)[/tex] scales the adjusted value to the Celsius temperature.
4. What [tex]\( C(F) \)[/tex] Represents:
- Since [tex]\( C(F) \)[/tex] uses [tex]\( F \)[/tex] (Fahrenheit) as an input and outputs a temperature in Celsius, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
5. Conclusion:
- Based on the function's purpose and its mathematical expression, [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
Therefore, the correct interpretation 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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