We start by identifying the function Kareem plans to use for the conversion:
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]
In this function, [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, and [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius.
To find the Celsius temperature corresponding to [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit, we need to compute:
[tex]\[ C(76.1) = \frac{5}{9} (76.1 - 32) \][/tex]
First, we subtract 32 from 76.1:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
Next, we multiply 44.1 by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]
[tex]\[ C(76.1) = 24.499999999999996 \][/tex]
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit converted to degrees Celsius.
Thus, the correct answer is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
