Which formula converts Celsius to Fahrenheit as listed in the material?

Which formula converts Celsius to Fahrenheit as listed in the material?

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

Answer: (A)

Converting Celsius to Fahrenheit uses a scale change followed by a shift. You multiply the Celsius temperature by 9/5 to account for the difference in degree size, then add 32 to align the zero points. The correct formula is F = (9/5)C + 32. This works as seen when C = 0 gives F = 32, and C = 100 gives F = 212. The form F = 9/5 (C + 32) is not the same, because adding 32 inside the parentheses means you first add 32 to C and then multiply by 9/5, which expands to (9/5)C + 57.6. That extra 57.6 overrides the intended offset of 32, leading to incorrect results. Other options also misrepresent the conversion: some would solve for C in terms of F rather than converting in the correct direction, or place the offset in the wrong position. The key idea is to scale by 9/5 and then add 32, in that order.

Converting Celsius to Fahrenheit uses a scale change followed by a shift. You multiply the Celsius temperature by 9/5 to account for the difference in degree size, then add 32 to align the zero points. The correct formula is F = (9/5)C + 32. This works as seen when C = 0 gives F = 32, and C = 100 gives F = 212.

The form F = 9/5 (C + 32) is not the same, because adding 32 inside the parentheses means you first add 32 to C and then multiply by 9/5, which expands to (9/5)C + 57.6. That extra 57.6 overrides the intended offset of 32, leading to incorrect results.

Other options also misrepresent the conversion: some would solve for C in terms of F rather than converting in the correct direction, or place the offset in the wrong position. The key idea is to scale by 9/5 and then add 32, in that order.