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Answer :
To understand what [tex]$C(F)$[/tex] represents, let's break down the function [tex]$C(F) = \frac{5}{9}(F - 32)$[/tex]. This is a formula used to convert temperatures from Fahrenheit (F) to Celsius (C). In this function:
1. Input (F): The variable [tex]$F$[/tex] represents the temperature in degrees Fahrenheit. This is the starting point or input for the function, which you want to convert.
2. Function (C(F)): The function itself, [tex]$C(F)$[/tex], takes this Fahrenheit input, applies the conversion formula, and outputs a result.
3. Output (C(F)): The result of the function, [tex]$C(F)$[/tex], is the temperature in degrees Celsius. This is what the function calculates after performing the conversion using the formula.
Now, let's match this understanding with the given answer choices:
- Option 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 statement is correct: it accurately describes that [tex]$C(F)$[/tex] is the Celsius temperature output when [tex]$F$[/tex] is the Fahrenheit temperature input.
- Option 2, 3, and 4: These statements are incorrect because they either mix up the roles of Celsius and Fahrenheit or confuse the function's input and output.
Therefore, the correct interpretation of [tex]$C(F)$[/tex] from the given options is:
Option 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."
1. Input (F): The variable [tex]$F$[/tex] represents the temperature in degrees Fahrenheit. This is the starting point or input for the function, which you want to convert.
2. Function (C(F)): The function itself, [tex]$C(F)$[/tex], takes this Fahrenheit input, applies the conversion formula, and outputs a result.
3. Output (C(F)): The result of the function, [tex]$C(F)$[/tex], is the temperature in degrees Celsius. This is what the function calculates after performing the conversion using the formula.
Now, let's match this understanding with the given answer choices:
- Option 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 statement is correct: it accurately describes that [tex]$C(F)$[/tex] is the Celsius temperature output when [tex]$F$[/tex] is the Fahrenheit temperature input.
- Option 2, 3, and 4: These statements are incorrect because they either mix up the roles of Celsius and Fahrenheit or confuse the function's input and output.
Therefore, the correct interpretation of [tex]$C(F)$[/tex] from the given options is:
Option 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."
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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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