Question

Temperature may be given in degrees Celsius or in degrees Fahrenheit. The freezing point of water is 32 F or 0 C. The boiling point of water is 212 F or 100 C. a. Write the equation of a line that shows the relationship between degrees Fahrenheit and degrees Celsius.

a. C=5/9(F−32)
b. F=9/5(C+32)
c. C=9/5(F+32)
d. F=5/9(C−32)

Answer 1

The correct equation to show the relationship between Fahrenheit and Celsius is C = 5/9(F - 32), which is the answer choice a. This equation is derived from the freezing and boiling points of water on both temperature scales.

Step-by-step explanation:

The relationship between degrees Fahrenheit and degrees Celsius can be represented by an equation of a line due to the linear nature of the temperature conversion. The freezing point of water is 0°C or 32°F, and the boiling point is 100°C or 212°F.

Given this information, the equation for converting Fahrenheit to Celsius is C = 5/9(F - 32). This equation indicates that for each increase in Fahrenheit, the Celsius temperature increases by 5/9 of this change. The option that correctly represents this relationship is a. C = 5/9(F - 32), as the others are either incorrectly formulated or represent the inverse relationship (from Celsius to Fahrenheit).