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 understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents, let's break it down step-by-step.

1. Understand the function: The function [tex]\( C(F) \)[/tex] is used to convert a temperature in degrees Fahrenheit (F) into degrees Celsius (C).

2. Structure of the function:
- [tex]\( F \)[/tex] stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] stands for the temperature in degrees Celsius.

3. Conversion formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes the temperature in Fahrenheit, subtracts 32 from it, multiplies the result by [tex]\(\frac{5}{9}\)[/tex], and the final result is the temperature in degrees Celsius.

4. Interpretation:
- [tex]\( C(F) \)[/tex] specifically converts temperatures from the Fahrenheit scale to the Celsius scale.

Given all these details, we can conclude that [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

Thus, the correct statement is:

[tex]\(C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

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