College

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 break down the solution step by step:

When Sierra wants to convert the average high temperature from degrees Fahrenheit (F) to degrees Celsius (C), she uses the function:

[tex]\[ C(F) = (F - 32) \][/tex]

This function is a part of the formula to convert temperatures from Fahrenheit to Celsius. The full formula is typically:

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

However, for this specific problem, it appears that the provided function simplifies to:

[tex]\[ C(F) = (F - 32) \][/tex]

---

Interpreting the Function C(F):

The function [tex]\( C(F) = (F - 32) \)[/tex] implies that you take a temperature in Fahrenheit (F), subtract 32 from it, and obtain a result. This result gives you a temperature value, which corresponds to some steps in converting to Celsius.

Given this, we interpret what [tex]\( C(F) \)[/tex] represents:

1. F is the temperature in degrees Fahrenheit.
2. [tex]\( C(F) \)[/tex] is what you get after performing the operation [tex]\( (F - 32) \)[/tex].

Thus, [tex]\( C(F) \)[/tex] represents the temperature of F degrees Fahrenheit after removing the offset of 32 degrees used in the conversion formula.

So the most accurate description of what [tex]\( C(F) \)[/tex] represents is:
[tex]\[ \text{the temperature of F degrees Fahrenheit converted to degrees Celsius} \][/tex]

---

Answer:

The selected answer that best describes [tex]\( C(F) \)[/tex] is:
[tex]\[ \text{the temperature of F degrees Fahrenheit converted to degrees Celsius} \][/tex]

By understanding the given function and correctly interpreting it, we can confidently conclude that the function [tex]\( C(F) \)[/tex] helps convert Fahrenheit temperatures to their corresponding Celsius values after an essential step in the conversion process.

Other Questions