The temperature in degrees Celsius, c , can be converted to degrees Fahrenheit, f , using the equation f is equal to 9 fifths x plus 32 Which statement best describes if the relation open paren c comma f close paren is a function?
Answer
A
It is not a function because 0 times degree C is not paired with 0 times degree F .
B
It is a function because every Celsius temperature is associated with only one Fahrenheit temperature.
C
It is a function because negative 40 times degree C is paired with negative 40 times degree F .
D
It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.
Explanation
A relation is a function if each input has exactly one output. In the equation f = (9/5)c + 32, every Celsius temperature c gives one specific Fahrenheit temperature f. For example, 0°C gives 32°F, not 0°F, but that does not stop the relation from being a function. Choice B correctly describes this rule.
AI-written and checked against the verified answer.