Question

The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation mc026-1.jpg. Which statement best describes the relation (c, f)?

It is a function because –40°C is paired with –40°F.
It is a function because every Celsius temperature is associated with only one Fahrenheit temperature.
It is not a function because 0°C is not paired with 0°F.
It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.

Answer 1

The second option is correct This is a one-to-one function.

Answer 2

B. it is a function because every Celsius tepmerature is associated with only one Fahrenheit temperature.

Explanation:

We are given that the temperature in degrees Celsius C can be converted to degrees Fahrenheit F

We know that the formula

`f^(\circ)=(9)/(5) c^(\circ)+32`

If we are substituting
`x=-40^(\circ) C`

Then , we get

`f=(9)/(5)(-40)+32=-40^(\circ)F`

For every Celsius temperature we get only one value of Fahrenheit .

Function: function is a mapping between two sets .Each member of set is mapped with one value of set B.

Given function is one-one because for every value of Celsius we get a unique value of Fahrenheit

Hence, it is a function because every Celsius tepmerature is associated with only one Fahrenheit temperature.

Therefore, option B is true.