38. A temperature of F degrees Fahrenheit will be converted to C degrees Celsius. Given F = 9/5C + 32, which of the following expressions represents that temperature in degrees Celsius?
Answer: A
5/9(F-32)
To convert a temperature from Fahrenheit (F) to Celsius (C), the correct expression is C = 5/9(F - 32). This formula accurately rearranges the given equation to isolate C.
A) 5/9(F-32)
This option correctly represents the conversion of Fahrenheit to Celsius. By using the formula C = 5/9(F - 32), it effectively subtracts 32 from F and then multiplies the result by 5/9, which is the proper method for this conversion.
B) 5/9F-32
This option incorrectly suggests a direct conversion that does not include the necessary subtraction of 32 from F before applying the multiplication by 5/9. As a result, it fails to accurately represent the relationship between temperatures in Fahrenheit and Celsius.
C) 9/5(F-32)
This option inaccurately applies the multiplication factor of 9/5 instead of the correct 5/9. While it includes the subtraction of 32 from F, the use of 9/5 means the conversion is incorrect, as it reverses the necessary scaling for Celsius.
D) 9/5(F+32)
This option not only incorrectly adds 32 to F but also uses the wrong multiplication factor of 9/5. This fundamentally misrepresents the conversion process from Fahrenheit to Celsius and is therefore incorrect.
E) 9/5F+32
This option incorrectly suggests a direct conversion without any adjustments for the Fahrenheit to Celsius transformation. The addition of 32 is misplaced, making it an invalid expression for this conversion.
Conclusion
The expression 5/9(F - 32) is the definitive correct answer for converting Fahrenheit to Celsius as it correctly applies the necessary operations. All other options either misuse arithmetic operations or fail to correctly follow the conversion formula, leading to incorrect representations of the temperature in degrees Celsius.