What conversion formula is used to convert Celsius to Fahrenheit?

Question

What conversion formula is used to convert Celsius to Fahrenheit??  
A. C=(5/9)F+32  
B. F=(5/9)C+32  
C. C=5/9(F−32)  
D. C=9/5(F+32)

Accepted Answer

Correct Answer: (C)C=5/9(F−32). 
Rationale: The formula to convert a temperature from Fahrenheit to Celsius is C = (5/9)(F - 32).The Celsius and Fahrenheit scales have different zero points and degree intervals. The conversion formula is derived from their linear relationship. The steps are: first, subtract 32 from the Fahrenheit temperature to account for the offset in their zero points; second, multiply by 5/9 to adjust for the difference in the size of a degree (a Fahrenheit degree is 5/9 the size of a Celsius degree, so the inverse fraction is used when converting from F to C).A) C=(5/9)F+32This formula incorrectly adds 32 after multiplying by 5/9. This would produce incorrect conversions. For instance, using the freezing point of water (32°F) in this formula would yield (5/9)*32 + 32 ≈ 17.8 + 32 = 49.8°C, which is not the correct 0°C.B) F=(5/9)C+32This is a common misremembered formula. It uses the fraction 5/9, which is the factor for converting Fahrenheit to Celsius. The correct fraction for converting Celsius to Fahrenheit is 9/5. The correct formula for that conversion is F = (9/5)C + 32.C) C=5/9(F−32)This is the correct formula for converting Fahrenheit to Celsius. It accurately reflects the two adjustments needed: subtracting the 32°F offset and then scaling by the ratio of the degree sizes (5/9).D) C=9/5(F+32)This formula incorrectly adds 32 and uses the wrong fraction (9/5 is for C to F conversion). This would yield wildly inaccurate results. For example, 32°F would convert to (9/5)*(32+32) = (9/5)*64 = 115.2°C, which is far from the correct 0°C.Conclusion:The mathematical relationship between the Fahrenheit and Celsius scales is fixed. To convert from Fahrenheit to Celsius, one must first subtract the 32-degree offset and then multiply by the factor 5/9, which accounts for the smaller size of a Fahrenheit degree relative to a Celsius degree. The correct expression of this relationship is C = (5/9)(F - 32).

What conversion formula is used to convert Celsius to Fahrenheit?

A
C=(5/9)F+32

B
F=(5/9)C+32

C
C=5/9(F−32)

D
C=9/5(F+32)

The formula to convert a temperature from Fahrenheit to Celsius is C = (5/9)(F - 32).

Topic Flashcards

Mini Quiz

Related Questions

What conversion formula is used to convert Celsius to Fahrenheit?

A C=(5/9)F+32 B F=(5/9)C+32 C C=5/9(F−32) D C=9/5(F+32)

The formula to convert a temperature from Fahrenheit to Celsius is C = (5/9)(F - 32).

Topic Flashcards

Mini Quiz

Related Questions

A
C=(5/9)F+32

B
F=(5/9)C+32

C
C=5/9(F−32)

D
C=9/5(F+32)