We're glad you stopped by 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 here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To determine what [tex]$C(F)$[/tex] represents in the given function, let's analyze the components of the function and its purpose.
The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This mathematical formula is commonly used to convert temperatures from degrees Fahrenheit to degrees Celsius. To understand what [tex]$C(F)$[/tex] represents, let's break it down:
1. Identify the Variables and Parameters:
- The function is denoted as [tex]$C(F)$[/tex], where [tex]$C$[/tex] stands for Celsius and [tex]$F$[/tex] stands for Fahrenheit.
- The input, [tex]$F$[/tex], is the temperature in degrees Fahrenheit.
2. Understand the Formula:
- The operation [tex]$(F - 32)$[/tex] adjusts the Fahrenheit temperature by subtracting 32, which aligns with the freezing point of water in the Fahrenheit scale (32°F = 0°C).
- Multiplying the result by [tex]$\frac{5}{9}$[/tex] converts the adjusted temperature from the Fahrenheit scale to the Celsius scale.
3. Determine the Output:
- The function outputs a temperature in degrees Celsius, which is denoted as [tex]$C(F)$[/tex]. This means for any input [tex]$F$[/tex], the function calculates the corresponding temperature in degrees Celsius.
Given this analysis, the correct interpretation of [tex]$C(F)$[/tex] is that it represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
Therefore, the correct choice is:
- [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This mathematical formula is commonly used to convert temperatures from degrees Fahrenheit to degrees Celsius. To understand what [tex]$C(F)$[/tex] represents, let's break it down:
1. Identify the Variables and Parameters:
- The function is denoted as [tex]$C(F)$[/tex], where [tex]$C$[/tex] stands for Celsius and [tex]$F$[/tex] stands for Fahrenheit.
- The input, [tex]$F$[/tex], is the temperature in degrees Fahrenheit.
2. Understand the Formula:
- The operation [tex]$(F - 32)$[/tex] adjusts the Fahrenheit temperature by subtracting 32, which aligns with the freezing point of water in the Fahrenheit scale (32°F = 0°C).
- Multiplying the result by [tex]$\frac{5}{9}$[/tex] converts the adjusted temperature from the Fahrenheit scale to the Celsius scale.
3. Determine the Output:
- The function outputs a temperature in degrees Celsius, which is denoted as [tex]$C(F)$[/tex]. This means for any input [tex]$F$[/tex], the function calculates the corresponding temperature in degrees Celsius.
Given this analysis, the correct interpretation of [tex]$C(F)$[/tex] is that it represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
Therefore, the correct choice is:
- [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
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- 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.
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