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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 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 :

Certainly! Let's go through this step-by-step.

Siera is looking to convert a temperature from degrees Fahrenheit (°F) to degrees Celsius (°C) using the function provided:

[tex]\[ C(F) = \frac{5}{9} \times (F - 32) \][/tex]

Here's how this function works:

1. Understanding the Variables:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the temperature converted into degrees Celsius.

2. Conversion Formula Explanation:
- The formula [tex]\( C(F) = \frac{5}{9} \times (F - 32) \)[/tex] is used to convert a given temperature from Fahrenheit to Celsius.
- The reason behind the formula comes from the relationship between the Fahrenheit and Celsius scales. The scales differ in their starting points (32°F is equivalent to 0°C), and their unit size (a Celsius degree is 9/5 of a Fahrenheit degree).

3. What [tex]\( C(F) \)[/tex] Represents:
- The expression [tex]\( C(F) \)[/tex] represents the result you get when you input a temperature in Fahrenheit into the formula. This result is the equivalent temperature in Celsius.
- Therefore, [tex]\( C(F) \)[/tex] stands for "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."

So, the correct interpretation of what [tex]\( C(F) \)[/tex] represents is:

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

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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