High School

For a given temperature, how do the Fahrenheit and Celsius values compare?

A. Fahrenheit values are lower than Celsius values above -40, and higher than Celsius below -40.

B. Fahrenheit values are higher than Celsius values above -40, and lower than Celsius below -40.

C. Celsius values are always higher than Fahrenheit values.

D. Fahrenheit values are always higher than Celsius values.

Answer :

To determine how Fahrenheit and Celsius values compare to each other across different temperature ranges, we need to take a special look at -40 degrees. This particular temperature is interesting because:

- At -40 degrees, the Fahrenheit and Celsius values are exactly the same. This means -40°F is the same as -40°C.

Now, let's consider what happens above and below -40 degrees:

- Above -40 degrees: The Fahrenheit scale increases more quickly than the Celsius scale due to the different intervals each scale uses (Fahrenheit has 180 degrees between freezing and boiling points, while Celsius has 100). Therefore, for temperatures above -40 degrees, Fahrenheit values are higher than their corresponding Celsius values.

- Below -40 degrees: Conversely, Fahrenheit values increase less quickly as temperatures decrease, which means that below -40 degrees, Fahrenheit values end up being lower than Celsius values.

Based on this understanding, the correct answer is:

B) Fahrenheit values are higher than Celsius values above -40, and lower than Celsius below -40.

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