College

For one month, Siera calculated her hometown's average high temperature in degrees Fahrenheit. 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 solve this problem, we need to identify what the function [tex]\( C(F) \)[/tex] represents. The function given is:

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

First, let's understand the components of this function.

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

To convert a temperature from Fahrenheit to Celsius, we use the following formula:

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

Where:
- Subtracting 32 adjusts the Fahrenheit scale so that it matches the Celsius scale at their zero points (freezing point of water).
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] scales the temperature difference in Fahrenheit to match that of Celsius.

Based on this, the function [tex]\( C(F) \)[/tex] represents the conversion of the temperature from degrees Fahrenheit to degrees Celsius.

To determine the correct answer:

- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius (This option matches our understanding of the function [tex]\( C(F) \)[/tex]).

Hence, the correct interpretation is:

[tex]\[ \boxed{\text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius}} \][/tex]

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