Respuesta :

The proportional relationship between x and y is;

x 7 14 28 35

y 1 2 4 5

The correct option is D.

Proportional relationships;

Proportional relationships between x and y satisfy the following equation;

[tex]\rm y=kx[/tex]

Where k is some constant.

Rearranging the equation;

[tex]\rm y=kx\\\\k=\dfrac{y}{x}[/tex]

Then,

The proportional relationship between x and y is;

[tex]\rm k = \dfrac{y}{x}\\\\\rm When \ x= 7 \ and \ y= 1\\\\K=\dfrac{1}{7}\\\\\rm When \ x= 14 \ and \ y= 2\\\\K=\dfrac{2}{14}=\dfrac{1}{7}\\\\\rm When \ x= 28 \ and \ y= 4\\\\K=\dfrac{4}{28}=\dfrac{1}{7}\\\\\rm When \ x= 35 \ and \ y= 5\\\\K=\dfrac{5}{35}=\dfrac{1}{7}[/tex]

Hence, the proportional relationship between x and y is the correct option is D.

To know more about proportional relationships click the link given below.

https://brainly.com/question/14237929