Given F = 9/5C + 32 which of the following expressions represents that temperature in degrees Celsius?

Rationale

5/9(F - 32)

To convert the temperature from Fahrenheit (F) to Celsius (C) using the formula F = 9/5C + 32, rearranging the equation yields C = 5/9(F - 32), which represents the correct expression for Celsius.

A (5/9(F-32)) CORRECT

This expression correctly rearranges the original formula for converting Fahrenheit to Celsius. By isolating C, we divide the difference between F and 32 by 9/5, yielding the correct temperature in degrees Celsius.

B (5/9F-32) YOUR ANSWER

This expression incorrectly modifies the original formula. It suggests that Celsius can be derived directly from F by simply taking 5/9 of F and subtracting 32, which does not account for the correct conversion process involving the constant 32.

C (9/5(F - 32)) YOUR ANSWER

This choice incorrectly implies that the conversion from Fahrenheit to Celsius can be achieved by multiplying the difference (F - 32) by 9/5. Instead, this expression would yield a temperature in Fahrenheit, not Celsius, as it does not account for the necessary division by 5/9.

D (9/5(F + 32)) YOUR ANSWER

This expression mistakenly adds 32 to F and then multiplies by 9/5. It does not apply the necessary steps to convert from Fahrenheit to Celsius and results in an incorrect temperature value.

E (9/5F + 32) YOUR ANSWER

This choice suggests a relationship that maintains Fahrenheit's format rather than converting it to Celsius. It merely scales F and adds 32, failing to represent a valid conversion to Celsius.

Conclusion

The correct conversion from Fahrenheit to Celsius is encapsulated in the expression 5/9(F - 32). This formula effectively rearranges the original equation, yielding an accurate representation of temperature in degrees Celsius. The other options fail to apply the necessary mathematical operations for correct conversion, showcasing common misconceptions in handling temperature formulas.