The equation above shows how a temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

• I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
• II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
• III. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A

I only

B

II only

C

III only

D

I and II only

The relationship between Fahrenheit (F) and Celsius (C) can be described by the formula: F = (9/5)C + 32. Let's analyze each statement based on this equation:

Statement Analysis

• I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.

This statement is false. An increase of 1 degree Fahrenheit corresponds to an increase of 5/9 degrees Celsius, but the reverse is not true.

• II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

This statement is true. An increase of 1 degree Celsius results in an increase of 1.8 degrees Fahrenheit, as derived from the conversion factor (9/5).

• III. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

This statement is false. An increase of 5/9 degree Fahrenheit does not equal an increase of 1 degree Celsius.

Conclusion

Based on the analysis, the correct answer is B II only.