emilysusang06
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please explain how to find the proportional relationship.

Either Table A or Table B shows a proportional relationship.
Table A
X 1 3 4 5
Y 2 6 8 10

Table B
X 1 2 4 6
Y 3 4 6 8
Plot the points from the table that shows a proportional relationship.​

please explain how to find the proportional relationship Either Table A or Table B shows a proportional relationshipTable AX 1 3 4 5 Y 2 6 8 10Table BX 1 2 4 6Y class=

Respuesta :

calculista

Answer:

The table A represent a proportional relationship

The table B not represent a proportional relationship

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each table

Table A

Find the value of k

For x=1,y=2 ------> [tex]k=\frac{2}{1}=2[/tex]

For x=3,y=6 ------> [tex]k=\frac{6}{3}=2[/tex]

For x=4,y=8 ------> [tex]k=\frac{8}{4}=2[/tex]

For x=5,y=10 ------> [tex]k=\frac{10}{5}=2[/tex]

All the values of k are the same

so

The table A represent a proportional relationship

The equation of the proportional relationship is equal to

[tex]y=2x[/tex]

Table B

Find the value of k

For x=1,y=3 ------> [tex]k=\frac{3}{1}=3[/tex]

For x=2,y=4 ------> [tex]k=\frac{4}{2}=2[/tex]

The values of k are different

so

The table B not represent a proportional relationship

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