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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.

Respuesta :

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

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

Step-by-step explanation:

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

We know that the formula

[tex]f^{\circ}=\frac{9}{5} c^{\circ}+32[/tex]

If we are substituting [tex]x=-40^{\circ} C[/tex]

Then , we get

[tex]f=\frac{9}{5}(-40)+32=-40^{\circ}F[/tex]

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.

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