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 :

To understand what [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] represents, let's break it down:

1. Understanding the Symbols:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after conversion.

2. The Formula:
- The given formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is used to convert a temperature from Fahrenheit to Celsius.

3. What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] takes a temperature in degrees Fahrenheit (represented by [tex]\( F \)[/tex]) and converts it to degrees Celsius.
- Thus, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

From all the information above, we conclude:

- [tex]\( C(F) \)[/tex] represents 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.

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