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Answer :
Let's analyze the given function and what it represents.
The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This is a formula used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
To understand what [tex]\( C(F) \)[/tex] represents, let's break down the components of the function:
- [tex]\( F \)[/tex] in this function stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the result of applying the conversion formula to [tex]\( F \)[/tex].
The term [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature by the offset difference (since 32°F is the freezing point of water).
Then, multiplying by [tex]\( \frac{5}{9} \)[/tex] converts this adjusted Fahrenheit measurement into a Celsius measurement.
Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius that corresponds to a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
In other words, [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So, the correct answer is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This is a formula used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
To understand what [tex]\( C(F) \)[/tex] represents, let's break down the components of the function:
- [tex]\( F \)[/tex] in this function stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the result of applying the conversion formula to [tex]\( F \)[/tex].
The term [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature by the offset difference (since 32°F is the freezing point of water).
Then, multiplying by [tex]\( \frac{5}{9} \)[/tex] converts this adjusted Fahrenheit measurement into a Celsius measurement.
Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius that corresponds to a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
In other words, [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So, the correct answer is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
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