High School

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 Celsius using the function [tex]$C(F) = \frac{5}{9}(F-32)$[/tex].

What does [tex]$C(F)$[/tex] represent?

A. The temperature of [tex]$F$[/tex] degrees Fahrenheit converted to degrees Celsius.
B. The temperature of [tex]$F$[/tex] degrees Celsius converted to degrees Fahrenheit.
C. The temperature of [tex]$C$[/tex] degrees Fahrenheit converted to degrees Celsius.
D. The temperature of [tex]$C$[/tex] degrees Celsius converted to degrees Fahrenheit.

Answer :

To determine what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], let's break down the problem step-by-step:

1. Understand the Function:
The function given is [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex].

2. Identify Variables and Constants:
- [tex]\( F \)[/tex] stands for degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] stands for degrees Celsius, which is a function of [tex]\( F \)[/tex].

3. Conversion Formula:
The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a standard formula used to convert a temperature given in Fahrenheit ( [tex]\( F \)[/tex] ) into Celsius ( [tex]\( C \)[/tex] ).

4. Interpret [tex]\( C(F) \)[/tex]:
By substituting a Fahrenheit temperature [tex]\( F \)[/tex] into the function [tex]\( C(F) \)[/tex], we get the corresponding temperature in Celsius.

5. Conclusion:
Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

Thus, [tex]\( C(F) \)[/tex] represents:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

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