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 :

Certainly!

To solve this question, let's understand the function given and what it's used for.

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

Here:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.

Let's break it down:
1. The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a standard formula used to convert a temperature from degrees Fahrenheit to degrees Celsius.
2. In this formula, you input a temperature value in Fahrenheit (denoted by [tex]\( F \)[/tex]).
3. After performing the arithmetic operations (subtracting 32 from [tex]\( F \)[/tex] and then multiplying by [tex]\(\frac{5}{9}\)[/tex]), the result gives you the corresponding temperature in degrees Celsius, which is denoted by [tex]\( C \)[/tex].

Therefore, [tex]\( C(F) \)[/tex] specifically represents:
- The temperature when converted from [tex]\( F \)[/tex] degrees Fahrenheit to degrees Celsius.

Based on the provided options, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius

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

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