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Answer :
To understand what [tex]\( C(F) \)[/tex] represents in this context, let's break down the function provided:
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. In this function:
- [tex]\( F \)[/tex] is the input, which represents temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output, which represents the corresponding temperature in degrees Celsius after the conversion.
Let's evaluate the options given:
1. [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.
- This option accurately describes what the function [tex]\( C(F) \)[/tex] does: it takes an input [tex]\( F \)[/tex] in degrees Fahrenheit and converts it to an output in degrees Celsius. Therefore, this is the correct description of [tex]\( C(F) \)[/tex].
2. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Fahrenheit when the input [tex]\( C \)[/tex] is in degrees Celsius.
- This is incorrect because [tex]\( C(F) \)[/tex] does not involve converting degrees Celsius to degrees Fahrenheit; that would require a different formula.
3. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Fahrenheit when the input [tex]\( F \)[/tex] is in degrees Celsius.
- This statement is incorrect because [tex]\( C(F) \)[/tex] outputs in degrees Celsius, not Fahrenheit, and it involves an input in degrees Fahrenheit, not Celsius.
4. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Celsius when the input [tex]\( C \)[/tex] is in degrees Fahrenheit.
- This is misleading because [tex]\( C(F) \)[/tex] itself is the function that converts from Fahrenheit to Celsius, so this statement does not align with the function given.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is the first option: [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. In this function:
- [tex]\( F \)[/tex] is the input, which represents temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output, which represents the corresponding temperature in degrees Celsius after the conversion.
Let's evaluate the options given:
1. [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.
- This option accurately describes what the function [tex]\( C(F) \)[/tex] does: it takes an input [tex]\( F \)[/tex] in degrees Fahrenheit and converts it to an output in degrees Celsius. Therefore, this is the correct description of [tex]\( C(F) \)[/tex].
2. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Fahrenheit when the input [tex]\( C \)[/tex] is in degrees Celsius.
- This is incorrect because [tex]\( C(F) \)[/tex] does not involve converting degrees Celsius to degrees Fahrenheit; that would require a different formula.
3. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Fahrenheit when the input [tex]\( F \)[/tex] is in degrees Celsius.
- This statement is incorrect because [tex]\( C(F) \)[/tex] outputs in degrees Celsius, not Fahrenheit, and it involves an input in degrees Fahrenheit, not Celsius.
4. [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( F \)[/tex] in degrees Celsius when the input [tex]\( C \)[/tex] is in degrees Fahrenheit.
- This is misleading because [tex]\( C(F) \)[/tex] itself is the function that converts from Fahrenheit to Celsius, so this statement does not align with the function given.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is the first option: [tex]\( C(F) \)[/tex] represents the output of the function 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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