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Answer :
Sure! Let's work through the problem of converting the temperature from degrees Fahrenheit to degrees Celsius.
Step 1: Understand the Problem
Kareem measured a temperature of [tex]\( 76.1^\circ \)[/tex] Fahrenheit. He wants to convert this temperature to degrees Celsius. To do this, he’ll use the formula:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This formula helps to convert temperatures from Fahrenheit to Celsius.
Step 2: Identify What We Need to Find
We need to find the Celsius temperature, [tex]\( C \)[/tex], that corresponds to [tex]\( 76.1^\circ \)[/tex] Fahrenheit.
Step 3: Plug the Value into the Formula
We substitute [tex]\( F = 76.1 \)[/tex] into the conversion formula:
[tex]\[ C(76.1) = \frac{5}{9}(76.1 - 32) \][/tex]
Step 4: Perform the Calculation
1. First, calculate the expression in the parenthesis:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
2. Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 44.1 \approx 24.5 \][/tex]
Conclusion
The temperature of [tex]\( 76.1^\circ \)[/tex] Fahrenheit is approximately [tex]\( 24.5^\circ \)[/tex] Celsius. Therefore, the answer is that [tex]\( C(76.1) \)[/tex] represents "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius."
Step 1: Understand the Problem
Kareem measured a temperature of [tex]\( 76.1^\circ \)[/tex] Fahrenheit. He wants to convert this temperature to degrees Celsius. To do this, he’ll use the formula:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This formula helps to convert temperatures from Fahrenheit to Celsius.
Step 2: Identify What We Need to Find
We need to find the Celsius temperature, [tex]\( C \)[/tex], that corresponds to [tex]\( 76.1^\circ \)[/tex] Fahrenheit.
Step 3: Plug the Value into the Formula
We substitute [tex]\( F = 76.1 \)[/tex] into the conversion formula:
[tex]\[ C(76.1) = \frac{5}{9}(76.1 - 32) \][/tex]
Step 4: Perform the Calculation
1. First, calculate the expression in the parenthesis:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
2. Next, multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 44.1 \approx 24.5 \][/tex]
Conclusion
The temperature of [tex]\( 76.1^\circ \)[/tex] Fahrenheit is approximately [tex]\( 24.5^\circ \)[/tex] Celsius. Therefore, the answer is that [tex]\( C(76.1) \)[/tex] represents "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius."
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