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X Y
3 −2
6 −4
9 −6
12 −8

Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of y/x


A) yes; − [tex]\frac{2}{3}[/tex]
B) yes; − [tex]\frac{5}{3}[/tex]
C) yes; − [tex]\frac{2}{5}[/tex]
D) The table does not represent a proportional relationship.

Respuesta :

The required "option A) yes; [tex]\dfrac{-2}{3}[/tex]" is correct.

Step-by-step explanation:

The given table:

X       Y

3    − 2

6    − 4

9   − 6

12  − 8

To find, the constant ratio, [tex]\dfrac{y}{x}[/tex] = ?

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-2}{3}[/tex],

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-4}{6}[/tex] = [tex]\dfrac{-2}{3}[/tex],

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex] and

The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex]

Thus, the required option A) yes; [tex]\dfrac{-2}{3}[/tex] is correct.

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