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

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Multiple Choice

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

Explanation:
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.

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