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 determine what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents, let’s carefully analyze the components of the function and what it aims to achieve.
1. Understanding the Variables:
- [tex]\( F \)[/tex]: This is the input to the function, representing the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex]: This is the output of the function, which represents the temperature in degrees Celsius.
2. Analyzing the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius.
- To convert a temperature given in Fahrenheit ([tex]\( F \)[/tex]) to Celsius ([tex]\( C \)[/tex]), we subtract 32 from the Fahrenheit value and then multiply by [tex]\(\frac{5}{9}\)[/tex].
3. Interpretation of Conversion:
- The function [tex]\( C(F) \)[/tex] takes the Fahrenheit temperature [tex]\( F \)[/tex] and converts it into its equivalent Celsius temperature [tex]\( C \)[/tex].
- Therefore, the description must state that [tex]\( C(F) \)[/tex] provides the temperature, originally in Fahrenheit, now expressed in Celsius.
4. Choosing the Correct Answer:
- The first choice, “the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius,” correctly describes that the function converts Fahrenheit to Celsius.
- The other choices describe incorrect conversions or misuse of variables and measurements.
Hence, [tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius".
Therefore, the correct answer is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
This corresponds to the multiple choice answer index 1.
1. Understanding the Variables:
- [tex]\( F \)[/tex]: This is the input to the function, representing the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex]: This is the output of the function, which represents the temperature in degrees Celsius.
2. Analyzing the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius.
- To convert a temperature given in Fahrenheit ([tex]\( F \)[/tex]) to Celsius ([tex]\( C \)[/tex]), we subtract 32 from the Fahrenheit value and then multiply by [tex]\(\frac{5}{9}\)[/tex].
3. Interpretation of Conversion:
- The function [tex]\( C(F) \)[/tex] takes the Fahrenheit temperature [tex]\( F \)[/tex] and converts it into its equivalent Celsius temperature [tex]\( C \)[/tex].
- Therefore, the description must state that [tex]\( C(F) \)[/tex] provides the temperature, originally in Fahrenheit, now expressed in Celsius.
4. Choosing the Correct Answer:
- The first choice, “the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius,” correctly describes that the function converts Fahrenheit to Celsius.
- The other choices describe incorrect conversions or misuse of variables and measurements.
Hence, [tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius".
Therefore, the correct answer is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
This corresponds to the multiple choice answer index 1.
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