A scientist uses the expression 5/9(F - 32) to convert temperatures from degrees Fahrenheit (°F), F, to degrees Celsius (°C). To the nearest degree, what is the temperature, in °F, of a substance at -25°C?

Rationale

-25°C is equivalent to -13°F.

To convert temperatures from degrees Celsius to degrees Fahrenheit, the formula used is F = (9/5)C + 32. By substituting -25°C into this equation, we can determine the corresponding Fahrenheit temperature.

A (13) YOUR ANSWER

To arrive at 13°F, the calculation would imply a conversion that does not correlate with the temperature of -25°C. Using the correct formula, -25°C converts to a lower Fahrenheit value, indicating that this choice is incorrect.

B (-32) YOUR ANSWER

The temperature -32°F would suggest a much colder reading than -25°C. When applying the conversion formula, the resulting Fahrenheit value must be higher than -32°F. Thus, this option does not accurately represent the conversion.

C (-13) CORRECT

When using the formula F = (9/5)(-25) + 32, we calculate F = -45 + 32 = -13°F. This correctly represents the Fahrenheit equivalent of -25°C, making it the right answer.

D (18) YOUR ANSWER

Converting -25°C to Fahrenheit results in a value significantly lower than 18°F. The formula reveals that -25°C corresponds to a much colder temperature, making 18°F an incorrect choice.

Conclusion

The conversion of -25°C to Fahrenheit results in -13°F, confirming the relationship between Celsius and Fahrenheit temperatures through the established formula. Each of the incorrect options fails to account for the proper calculations required for accurate temperature conversion, reinforcing the importance of using the correct mathematical approach in these scenarios.

A scientist uses the expression 5/9(F - 32) to convert temperatures from degrees Fahrenheit (°F), F, to degrees Celsius (°C). To the nearest degree, what is the temperature, in °F, of a substance at -25°C?

-25°C is equivalent to -13°F.

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