Answer :
Certainly! Let's break down the given problem step by step.
Kareem is trying to convert a temperature from degrees Fahrenheit to degrees Celsius using the function [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex].
### Step-by-Step Solution:
1. Understanding the Function:
- The function [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius. Here, [tex]\( F \)[/tex] represents the temperature in Fahrenheit, and [tex]\( C(F) \)[/tex] will give us the equivalent temperature in Celsius.
2. Calculating [tex]\( C(76.1) \)[/tex]:
- Kareem has the temperature [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit, and he wants to convert this to Celsius.
- Substitute [tex]\( F = 76.1 \)[/tex] into the conversion formula:
[tex]\[
C(76.1) = \frac{5}{9} (76.1 - 32)
\][/tex]
3. Perform the Calculation:
- First, calculate [tex]\( 76.1 - 32 \)[/tex]:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply by [tex]\( \frac{5}{9} \)[/tex] to complete the conversion:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1
\][/tex]
4. Final Result:
- After performing the calculation, you find that:
[tex]\[
C(76.1) \approx 24.5
\][/tex]
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius, which is approximately 24.5 degrees Celsius. Thus, the correct interpretation among the given options is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Kareem is trying to convert a temperature from degrees Fahrenheit to degrees Celsius using the function [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex].
### Step-by-Step Solution:
1. Understanding the Function:
- The function [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex] is used to convert temperatures from Fahrenheit to Celsius. Here, [tex]\( F \)[/tex] represents the temperature in Fahrenheit, and [tex]\( C(F) \)[/tex] will give us the equivalent temperature in Celsius.
2. Calculating [tex]\( C(76.1) \)[/tex]:
- Kareem has the temperature [tex]\( 76.1^{\circ} \)[/tex] Fahrenheit, and he wants to convert this to Celsius.
- Substitute [tex]\( F = 76.1 \)[/tex] into the conversion formula:
[tex]\[
C(76.1) = \frac{5}{9} (76.1 - 32)
\][/tex]
3. Perform the Calculation:
- First, calculate [tex]\( 76.1 - 32 \)[/tex]:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply by [tex]\( \frac{5}{9} \)[/tex] to complete the conversion:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1
\][/tex]
4. Final Result:
- After performing the calculation, you find that:
[tex]\[
C(76.1) \approx 24.5
\][/tex]
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius, which is approximately 24.5 degrees Celsius. Thus, the correct interpretation among the given options is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
