We appreciate your visit to 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 offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To understand what [tex]\( C(F) \)[/tex] represents, let's look at the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
1. Function Purpose: The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula used to convert temperatures from degrees Fahrenheit (°F) to degrees Celsius (°C).
2. Breaking Down the Function:
- [tex]\( F \)[/tex]: Represents the temperature in degrees Fahrenheit that you want to convert.
- [tex]\( C(F) \)[/tex]: Represents the result, which is the temperature in degrees Celsius.
3. Conversion Process:
- The expression [tex]\( F - 32 \)[/tex] is used to adjust the Fahrenheit temperature for Celsius. This accounts for the point where Fahrenheit and Celsius start at zero degrees differently.
- The multiplication by [tex]\( \frac{5}{9} \)[/tex] scales the adjusted Fahrenheit temperature to Celsius.
4. Interpretation:
- When you use this function with a given Fahrenheit temperature, the outcome, [tex]\( C(F) \)[/tex], is the equivalent temperature in Celsius.
So, the correct interpretation of what [tex]\( C(F) \)[/tex] represents is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Function Purpose: The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula used to convert temperatures from degrees Fahrenheit (°F) to degrees Celsius (°C).
2. Breaking Down the Function:
- [tex]\( F \)[/tex]: Represents the temperature in degrees Fahrenheit that you want to convert.
- [tex]\( C(F) \)[/tex]: Represents the result, which is the temperature in degrees Celsius.
3. Conversion Process:
- The expression [tex]\( F - 32 \)[/tex] is used to adjust the Fahrenheit temperature for Celsius. This accounts for the point where Fahrenheit and Celsius start at zero degrees differently.
- The multiplication by [tex]\( \frac{5}{9} \)[/tex] scales the adjusted Fahrenheit temperature to Celsius.
4. Interpretation:
- When you use this function with a given Fahrenheit temperature, the outcome, [tex]\( C(F) \)[/tex], is the equivalent temperature in Celsius.
So, the correct interpretation of what [tex]\( C(F) \)[/tex] represents is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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