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Thank you for visiting Siera calculated her hometown s average high temperature in degrees Fahrenheit for one month She wants to convert that temperature from degrees Fahrenheit to degrees. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Siera calculated her hometown's average high temperature in degrees Fahrenheit for one month. 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 Celsius converted to degrees Fahrenheit.
B. Degrees Celsius converted to degrees Fahrenheit.
C. The temperature of [tex]F[/tex] degrees Fahrenheit converted to degrees Celsius.
D. The temperature of [tex]C[/tex] degrees Celsius converted to degrees Fahrenheit.

Answer :

The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.

Let's break down what [tex]\( C(F) \)[/tex] does:

1. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature value in degrees Fahrenheit (denoted as [tex]\( F \)[/tex]).
- It subtracts 32 from this Fahrenheit temperature, which is necessary because 32 degrees Fahrenheit is the freezing point of water.

2. Conversion Factor:
- The result is then multiplied by [tex]\( \frac{5}{9} \)[/tex]. This factor is used to scale the difference from Fahrenheit to Celsius.

3. What [tex]\( C(F) \)[/tex] Represents:
- After applying the formula, [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.

Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This means that when you use this function, you are taking a Fahrenheit temperature and finding out what that temperature would be when measured in Celsius.

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