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?

The temperature in degrees Fahrenheit converted to degrees Celsius.

Answer :

Certainly! Let's understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents.

1. Function Purpose: This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.

2. Parts of the Function:
- [tex]\( F \)[/tex] is the input to the function, representing the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output of the function, which gives the temperature converted to degrees Celsius.

3. Conversion Process:
- Start with the temperature in degrees Fahrenheit ([tex]\( F \)[/tex]).
- Subtract 32 from [tex]\( F \)[/tex]. This step is important as it adjusts the Fahrenheit temperature to align with the Celsius scale, where water freezes at 0 degrees instead of 32.
- Multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This ratio (5/9) scales the adjusted temperature to the Celsius scale, where each degree increment is smaller than on the Fahrenheit scale.

Putting it all together, [tex]\( C(F) \)[/tex] represents:
- The temperature in degrees Fahrenheit converted to degrees Celsius.

So, when Siera uses this formula, she can determine what the average high temperature of her hometown is in degrees Celsius after it was originally measured in degrees Fahrenheit.

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