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Answer :
Sure! Let's go through the problem step by step.
Kareem has a temperature in degrees Fahrenheit, 76.1°F, and he wants to convert this to degrees Celsius. He plans to use the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] for this conversion.
Here's how the function works:
1. Identify the given temperature:
- You have 76.1°F as the input value [tex]\( F \)[/tex] in Fahrenheit.
2. Apply the conversion formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert Fahrenheit to Celsius.
- Substitute 76.1 into the formula for [tex]\( F \)[/tex].
3. Perform the calculation:
- First, subtract 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]
So, [tex]\( C(76.1) \)[/tex], the output of the function, represents approximately [tex]\( 24.5 \)[/tex]°C.
Conclusion:
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Kareem has a temperature in degrees Fahrenheit, 76.1°F, and he wants to convert this to degrees Celsius. He plans to use the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] for this conversion.
Here's how the function works:
1. Identify the given temperature:
- You have 76.1°F as the input value [tex]\( F \)[/tex] in Fahrenheit.
2. Apply the conversion formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert Fahrenheit to Celsius.
- Substitute 76.1 into the formula for [tex]\( F \)[/tex].
3. Perform the calculation:
- First, subtract 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]
So, [tex]\( C(76.1) \)[/tex], the output of the function, represents approximately [tex]\( 24.5 \)[/tex]°C.
Conclusion:
Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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