Which of the following correctly expresses the relationship between Celsius (c) and Fahrenheit (f) temperatures?

• A. c = (f + 32)/9
• B. c = (5/9)(f - 32)
• C. c = (f - 32)/5
• D. c = (9/5)(f + 32)

Answer: (B)

Verified step by step guidance

1. Understand that the problem asks for the correct formula relating Celsius (c) and Fahrenheit (f) temperatures.
2. Recall the standard conversion formula from Fahrenheit to Celsius, which accounts for the difference in zero points and the scale factor between the two temperature units.
3. The formula involves subtracting 32 from the Fahrenheit temperature to adjust for the offset between the two scales.
4. Then multiply the result by the ratio of the size of one degree Celsius to one degree Fahrenheit, which is \( \frac{5}{9} \). This accounts for the difference in scale increments.
5. Putting it all together, the correct formula is: \( c = \frac{5}{9} (f - 32) \).