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 :

Sure! Let's look at the problem and solve it step-by-step.

We are given the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. We need to determine what [tex]\( C(F) \)[/tex] represents.

In general, the formula for converting temperatures from Fahrenheit to Celsius is:

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

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

Let's break down what the function [tex]\( C(F) \)[/tex] does:
- It takes a temperature value in Fahrenheit ([tex]\( F \)[/tex]).
- It applies the conversion formula to transform this Fahrenheit temperature into Celsius.

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

Based on the problem and the steps we've gone through, the correct interpretation is:

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

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