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Answer :
To solve this question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] does. This function is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
The question asks what [tex]\( C(76.1) \)[/tex] represents. Let's break it down step-by-step:
1. Identify the given function and the input:
- The function is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- The input, [tex]\( F \)[/tex], is 76.1 degrees Fahrenheit.
2. Compute the output of the function [tex]\( C(F) \)[/tex] with the input 76.1:
- Substitute [tex]\( F = 76.1 \)[/tex] into the function:
[tex]\( C(76.1) = \frac{5}{9}(76.1 - 32) \)[/tex].
3. Perform the calculation:
- First, compute the inside of the parentheses: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Next, apply the fraction [tex]\( \frac{5}{9} \)[/tex] to this value:
[tex]\( C(76.1) = \frac{5}{9} \times 44.1 \)[/tex].
4. Calculate the multiplication:
- The value of [tex]\( \frac{5}{9} \times 44.1 \)[/tex] is approximately 24.5.
So, [tex]\( C(76.1) \)[/tex] approximately equals 24.5 degrees Celsius.
Understanding what [tex]\( C(76.1) \)[/tex] represents:
- The input to the function was 76.1 degrees Fahrenheit.
- The output, 24.5, gives us the equivalent temperature in degrees Celsius.
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, the correct answer is:
The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
The question asks what [tex]\( C(76.1) \)[/tex] represents. Let's break it down step-by-step:
1. Identify the given function and the input:
- The function is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- The input, [tex]\( F \)[/tex], is 76.1 degrees Fahrenheit.
2. Compute the output of the function [tex]\( C(F) \)[/tex] with the input 76.1:
- Substitute [tex]\( F = 76.1 \)[/tex] into the function:
[tex]\( C(76.1) = \frac{5}{9}(76.1 - 32) \)[/tex].
3. Perform the calculation:
- First, compute the inside of the parentheses: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Next, apply the fraction [tex]\( \frac{5}{9} \)[/tex] to this value:
[tex]\( C(76.1) = \frac{5}{9} \times 44.1 \)[/tex].
4. Calculate the multiplication:
- The value of [tex]\( \frac{5}{9} \times 44.1 \)[/tex] is approximately 24.5.
So, [tex]\( C(76.1) \)[/tex] approximately equals 24.5 degrees Celsius.
Understanding what [tex]\( C(76.1) \)[/tex] represents:
- The input to the function was 76.1 degrees Fahrenheit.
- The output, 24.5, gives us the equivalent temperature in degrees Celsius.
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, the correct answer is:
The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Thanks for taking the time to read On his first day of school Kareem found the high temperature in degrees Fahrenheit to be 16 Use the function tex C F frac 5. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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