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 problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is doing. The function is used to convert temperatures from degrees Fahrenheit to degrees Celsius. Let’s break it down step by step:
1. Identify and Define the Function:
- The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- Here, [tex]\( F \)[/tex] represents the input temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output, which gives us the temperature in degrees Celsius.
2. Understanding the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula used for converting Fahrenheit to Celsius.
- The part [tex]\((F - 32)\)[/tex] adjusts the Fahrenheit temperature by subtracting 32, which is necessary because 32°F corresponds to 0°C.
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] scales the adjusted Fahrenheit temperature to its equivalent in Celsius.
3. Interpret the Function:
- Based on the structure of the function, [tex]\( C(F) \)[/tex] represents the converted temperature in degrees Celsius.
- Thus, [tex]\( C(F) \)[/tex] is the Celsius equivalent of the given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
4. Choose the Correct Representation:
- The correct interpretation is that [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 correct answer 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 and Define the Function:
- The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- Here, [tex]\( F \)[/tex] represents the input temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output, which gives us the temperature in degrees Celsius.
2. Understanding the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula used for converting Fahrenheit to Celsius.
- The part [tex]\((F - 32)\)[/tex] adjusts the Fahrenheit temperature by subtracting 32, which is necessary because 32°F corresponds to 0°C.
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] scales the adjusted Fahrenheit temperature to its equivalent in Celsius.
3. Interpret the Function:
- Based on the structure of the function, [tex]\( C(F) \)[/tex] represents the converted temperature in degrees Celsius.
- Thus, [tex]\( C(F) \)[/tex] is the Celsius equivalent of the given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
4. Choose the Correct Representation:
- The correct interpretation is that [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 correct answer 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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