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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.

Sagot :

GinnyAnswer
The function given is \( C(F) = \frac{5}{9}(F - 32) \).

Let's break down this formula step-by-step to understand what it represents:

1. Understanding the Formula:
- The formula \( C(F) = \frac{5}{9}(F - 32) \) is used for temperature conversion.
- \(F\) is the temperature in degrees Fahrenheit.
- \(C(F)\) is the temperature in degrees Celsius.

2. The Components:
- \( F - 32 \): This part adjusts the Fahrenheit temperature by subtracting 32.
- \(\frac{5}{9}\): This coefficient scales the adjusted temperature to convert it from Fahrenheit to Celsius.

3. What Does \( C(F) \) Represent?:
- \( C(F) \) is the temperature in degrees Celsius after converting from Fahrenheit.
- This means \(C(F)\) is specifically the temperature of \(F\) degrees Fahrenheit converted into Celsius.

4. Explanation of Choices:
- The temperature of \(F\) degrees Fahrenheit converted to degrees Celsius: This matches exactly what the formula does.
- The temperature of \(F\) degrees Celsius converted to degrees Fahrenheit: This would require a different formula, typically \(F(C) = \frac{9}{5}C + 32\).
- The temperature of \(C\) degrees Fahrenheit converted to degrees Celsius: Incorrect use of \( C \) as it is the result, not input in Fahrenheit.
- The temperature of \(C\) degrees Celsius converted to degrees Fahrenheit: Incorrect, as this describes the reverse process.

Thus, the correct answer is:
- The temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius
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