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 [tex]\( C(F) \)[/tex] represents, let's look at the function and the context:

The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]

This is a standard formula used to convert temperatures from degrees Fahrenheit to degrees Celsius. Here's a step-by-step explanation:

1. Identify the Variables:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the result of the conversion, which is the temperature in degrees Celsius.

2. Understand the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature [tex]\( F \)[/tex] in Fahrenheit, subtracts 32 from it, and then multiplies the result by [tex]\( \frac{5}{9} \)[/tex].
- This process converts the Fahrenheit temperature to Celsius.

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

So, the correct interpretation is that [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

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