Answer :
To solve this problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used for. This function is designed to convert temperatures from degrees Fahrenheit to degrees Celsius.
Let's break down the problem:
1. Identify the Function's Purpose: The function [tex]\( C(F) \)[/tex] is designed to take a temperature in degrees Fahrenheit (denoted by [tex]\( F \)[/tex]) and convert it into degrees Celsius.
2. Identify the Given Temperature in Fahrenheit: The problem states that Kareem found the high temperature to be 76.1 degrees Fahrenheit.
3. Substitute the Fahrenheit Value into the Function: To find the equivalent temperature in Celsius, we substitute the given Fahrenheit temperature (76.1) into the function [tex]\( C(F) \)[/tex].
4. Calculate the Celsius Equivalent:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
Breaking this down:
- Subtract 32 from 76.1 to account for the offset in temperature scales: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Multiply the result by [tex]\( \frac{5}{9} \)[/tex] to convert to Celsius: [tex]\( \frac{5}{9} \times 44.1 \approx 24.5 \)[/tex].
The result [tex]\( C(76.1) = 24.5 \)[/tex] means that when the temperature is 76.1 degrees Fahrenheit, it is approximately 24.5 degrees Celsius.
Thus, the correct interpretation of [tex]\( C(76.1) \)[/tex] is that it represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Let's break down the problem:
1. Identify the Function's Purpose: The function [tex]\( C(F) \)[/tex] is designed to take a temperature in degrees Fahrenheit (denoted by [tex]\( F \)[/tex]) and convert it into degrees Celsius.
2. Identify the Given Temperature in Fahrenheit: The problem states that Kareem found the high temperature to be 76.1 degrees Fahrenheit.
3. Substitute the Fahrenheit Value into the Function: To find the equivalent temperature in Celsius, we substitute the given Fahrenheit temperature (76.1) into the function [tex]\( C(F) \)[/tex].
4. Calculate the Celsius Equivalent:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]
Breaking this down:
- Subtract 32 from 76.1 to account for the offset in temperature scales: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Multiply the result by [tex]\( \frac{5}{9} \)[/tex] to convert to Celsius: [tex]\( \frac{5}{9} \times 44.1 \approx 24.5 \)[/tex].
The result [tex]\( C(76.1) = 24.5 \)[/tex] means that when the temperature is 76.1 degrees Fahrenheit, it is approximately 24.5 degrees Celsius.
Thus, the correct interpretation of [tex]\( C(76.1) \)[/tex] is that it represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
