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The formula used to convert between degrees Fahrenheit and degrees Celsius is "the sum of 32 and 9/5 times the temperature in degrees Celsius." What is an equivalent algebraic expression? Use C to represent the degrees Celsius.

a. F = C - 32 * 5/9
b. F = (C - 32) * 5/9
c. F = C * 5/9 - 32
d. F = 5/9 * (C - 32)

1 Answer

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Final answer:

The equivalent algebraic expression for converting degrees Celsius to Fahrenheit, based on the description provided, is F = 9/5 × C + 32, but this is not listed among the options. Instead, option d represents the conversion from Fahrenheit to Celsius and thus is the opposite of the intended direction.

Step-by-step explanation:

The given description to convert between degrees Fahrenheit and degrees Celsius can be represented algebraically using the letter C for degrees Celsius. The correct formula to convert Celsius to Fahrenheit is F = (9/5 × C) + 32, where F stands for degrees Fahrenheit. Therefore, the equivalent algebraic expression to the description would be:

F = 9/5 × C + 32

Looking at the options, the correct algebraic expression that matches this formula is not listed, and there seems to be an error with the provided options. The most common correct formula to convert Celsius to Fahrenheit is F = (9/5 × C) + 32. If we must choose from the provided options, none of them represent the conversion description correctly; however, option d, which is F = 5/9 × (C - 32), is the rearranged version for converting Fahrenheit to Celsius, which is not the same as the one mentioned in the question.

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