Answer :
Sure! Let's look at what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] does and what [tex]\( C(76.1) \)[/tex] represents.
1. Understanding the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
2. Identifying the Input: In this case, we have [tex]\( F = 76.1 \)[/tex] degrees Fahrenheit, which is the high temperature Kareem observed.
3. Conversion Process: By plugging [tex]\( F = 76.1 \)[/tex] into the function, we perform the conversion from Fahrenheit to Celsius as follows:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Calculation: Solve the expression:
- First, subtract 32 from 76.1: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Then multiply the result by [tex]\(\frac{5}{9}\)[/tex]: [tex]\( \frac{5}{9} \times 44.1 \)[/tex].
5. Result Interpretation: The result of this calculation represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
With the provided results, the correct interpretation of [tex]\( C(76.1) \)[/tex] is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, [tex]\( C(76.1) \)[/tex] gives us the temperature in Celsius, which is approximately 24.5°C.
1. Understanding the Function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
2. Identifying the Input: In this case, we have [tex]\( F = 76.1 \)[/tex] degrees Fahrenheit, which is the high temperature Kareem observed.
3. Conversion Process: By plugging [tex]\( F = 76.1 \)[/tex] into the function, we perform the conversion from Fahrenheit to Celsius as follows:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
4. Calculation: Solve the expression:
- First, subtract 32 from 76.1: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Then multiply the result by [tex]\(\frac{5}{9}\)[/tex]: [tex]\( \frac{5}{9} \times 44.1 \)[/tex].
5. Result Interpretation: The result of this calculation represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
With the provided results, the correct interpretation of [tex]\( C(76.1) \)[/tex] is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, [tex]\( C(76.1) \)[/tex] gives us the temperature in Celsius, which is approximately 24.5°C.