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Answer :
To solve the problem, we need to use the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] to convert a temperature from degrees Fahrenheit to degrees Celsius.
Here's how you can understand this step-by-step:
1. Identify the Given Information:
- The temperature in Fahrenheit that Kareem recorded is [tex]\( 76.1^{\circ}F \)[/tex].
2. Use the Conversion Function:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] helps convert Fahrenheit to Celsius.
- Substitute [tex]\( F = 76.1 \)[/tex] into the function to find the corresponding Celsius temperature.
3. Substitute and Simplify:
- Start by substituting [tex]\( F = 76.1 \)[/tex] into the equation.
- You will calculate [tex]\( C(76.1) = \frac{5}{9}(76.1 - 32) \)[/tex].
- First, calculate [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Then, compute [tex]\( \frac{5}{9} \times 44.1 = 24.5 \)[/tex].
4. Interpret the Result:
- The value [tex]\( C(76.1) = 24.5 \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Therefore, the correct interpretation is that [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Here's how you can understand this step-by-step:
1. Identify the Given Information:
- The temperature in Fahrenheit that Kareem recorded is [tex]\( 76.1^{\circ}F \)[/tex].
2. Use the Conversion Function:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] helps convert Fahrenheit to Celsius.
- Substitute [tex]\( F = 76.1 \)[/tex] into the function to find the corresponding Celsius temperature.
3. Substitute and Simplify:
- Start by substituting [tex]\( F = 76.1 \)[/tex] into the equation.
- You will calculate [tex]\( C(76.1) = \frac{5}{9}(76.1 - 32) \)[/tex].
- First, calculate [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Then, compute [tex]\( \frac{5}{9} \times 44.1 = 24.5 \)[/tex].
4. Interpret the Result:
- The value [tex]\( C(76.1) = 24.5 \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Therefore, the correct interpretation is that [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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