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, let's break down the given function:
The function provided is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
This function is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C). Here's a step-by-step explanation:
1. Understanding Function Notation:
- The function is named [tex]\( C \)[/tex], which suggests it outputs a temperature in degrees Celsius.
- The input variable is [tex]\( F \)[/tex], which stands for the temperature in degrees Fahrenheit.
2. Function Explanation:
- The function takes an input [tex]\( F \)[/tex], which is a temperature in Fahrenheit, then it performs the calculation [tex]\( \frac{5}{9}(F - 32) \)[/tex] to convert this temperature to Celsius.
3. Calculating the Conversion:
- The formula itself, [tex]\( \frac{5}{9}(F - 32) \)[/tex], is the standard equation used to convert Fahrenheit to Celsius.
- This equation first subtracts 32 from the Fahrenheit temperature because this aligns the freezing points of water in both scales.
- Then, multiplying by [tex]\( \frac{5}{9} \)[/tex], adjusts the scale from Fahrenheit to Celsius.
4. Interpreting the Output:
- The result of this function, [tex]\( C(F) \)[/tex], is thus a temperature value in degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is:
[tex]\[ C(F) \text{ represents the output of the function } C \text{ in degrees Celsius when the input } F \text{ is in degrees Fahrenheit.} \][/tex]
This corresponds to the first option:
- C(F) 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 function is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C). Here's a step-by-step explanation:
1. Understanding Function Notation:
- The function is named [tex]\( C \)[/tex], which suggests it outputs a temperature in degrees Celsius.
- The input variable is [tex]\( F \)[/tex], which stands for the temperature in degrees Fahrenheit.
2. Function Explanation:
- The function takes an input [tex]\( F \)[/tex], which is a temperature in Fahrenheit, then it performs the calculation [tex]\( \frac{5}{9}(F - 32) \)[/tex] to convert this temperature to Celsius.
3. Calculating the Conversion:
- The formula itself, [tex]\( \frac{5}{9}(F - 32) \)[/tex], is the standard equation used to convert Fahrenheit to Celsius.
- This equation first subtracts 32 from the Fahrenheit temperature because this aligns the freezing points of water in both scales.
- Then, multiplying by [tex]\( \frac{5}{9} \)[/tex], adjusts the scale from Fahrenheit to Celsius.
4. Interpreting the Output:
- The result of this function, [tex]\( C(F) \)[/tex], is thus a temperature value in degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is:
[tex]\[ C(F) \text{ represents the output of the function } C \text{ in degrees Celsius when the input } F \text{ is in degrees Fahrenheit.} \][/tex]
This corresponds to the first option:
- C(F) represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
We appreciate you taking the time to read 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. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!
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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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