Question 3

5/9(F-32) represents the temperature in degrees Celsius.

To convert a temperature from Fahrenheit to Celsius using the equation F = 9/5C + 32, we can rearrange the equation to isolate C. The expression 5/9(F - 32) correctly derives Celsius from the Fahrenheit value.

A) 5/9(F-32)

This option is correct as it directly results from rearranging the original equation. By subtracting 32 from F and then multiplying by 5/9, we accurately convert Fahrenheit to Celsius.

B) 5/9F-32

This option is incorrect because it does not properly account for the conversion from Fahrenheit to Celsius. Instead of subtracting 32 from F before multiplying by 5/9, it incorrectly applies the conversion factor to F and then subtracts 32, which does not yield the correct Celsius temperature.

C) 9/5(F - 32)

This option is also incorrect. While it correctly subtracts 32 from F, it mistakenly applies the wrong conversion factor of 9/5 rather than the necessary 5/9, leading to an incorrect result for Celsius.

D) 9/5(F + 32)

This option is incorrect as it adds 32 to F, which is not part of the conversion process from Fahrenheit to Celsius. The conversion must involve subtracting 32 from F, making this expression fundamentally flawed.

E) 9/5F + 32

This option is incorrect because it fails to convert Fahrenheit to Celsius at all. Instead, it suggests a direct transformation of F without the necessary adjustments, thus not providing a Celsius equivalent.

Conclusion

The expression 5/9(F-32) is the only option that accurately represents the conversion from Fahrenheit to Celsius based on the given formula. All other options either misapply the conversion factors or fail to follow the correct arithmetic steps needed for the conversion, confirming that they cannot represent the temperature in degrees Celsius accurately.