Thank you for visiting 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. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To solve the problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is doing.
1. Identify the Function's Purpose:
The function [tex]\( C(F) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. This is clear from the formula, which is the standard conversion formula between these two units of temperature.
2. Understanding the Function Components:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature to align with the Celsius scale, since 32 degrees Fahrenheit is equivalent to 0 degrees Celsius.
- Multiply by [tex]\( \frac{5}{9} \)[/tex] to scale the adjusted Fahrenheit temperature to Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius that corresponds to the input Fahrenheit temperature [tex]\( F \)[/tex].
4. Select the Correct Description:
The function [tex]\( C(F) \)[/tex] represents the conversion of a given temperature [tex]\( F \)[/tex] from degrees Fahrenheit to degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
1. Identify the Function's Purpose:
The function [tex]\( C(F) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. This is clear from the formula, which is the standard conversion formula between these two units of temperature.
2. Understanding the Function Components:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature to align with the Celsius scale, since 32 degrees Fahrenheit is equivalent to 0 degrees Celsius.
- Multiply by [tex]\( \frac{5}{9} \)[/tex] to scale the adjusted Fahrenheit temperature to Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius that corresponds to the input Fahrenheit temperature [tex]\( F \)[/tex].
4. Select the Correct Description:
The function [tex]\( C(F) \)[/tex] represents the conversion of a given temperature [tex]\( F \)[/tex] from degrees Fahrenheit to degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
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