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The table shows the relationship between temperatures measured on the Celsius and Fahrenheit scales.

Celsius temperature : 0 10 20 30 40 50
Fahrenheit temperature : 32 50 68 86 104 122

Is the relationship between the temperature scales proportional? Explain your answer.

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luisejr77

Answer: No, it is not proportional (See explanation).

Step-by-step explanation:

By definition, Proportional relationships have the following form:

[tex]y=kx[/tex]

Where "k" is the Constant of proportionality.

By definition the graph of a proportional relationship is a straight line that passes through the origin (Point [tex](0,0)[/tex]).

 Knowing this and having the relationship provided in the exercise, you can identify from the table that when:

[tex]x=0[/tex], [tex]y=32[/tex]

Then, the line does not pass through the origin, so you can conclude that the relationship between the temperature scales is not proportional.

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