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One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table in the 1st photo.
Tell me which graph numbers a,b,c,d

One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table in the 1st photo. Tell me which g class=

Verified Answer :

Dawson14

so what you do is put y over x first which u will see will be the third graph as the answer because they all end up being 2/1 even if there negative its still proportional in a graph

calculista

Answer:

Table C

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 \(y/x=k\) or \(y=kx\)

Find the value of the constant of proportionality in each table

Table A

For \(x=-2, y=-4\) ------>\(k=-4/-2=2\)  

For \(x=-1, y=-3\) ------>\(k=-3/-1=3\)  

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For \(x=-2, y=-4\) ------>\(k=-4/-2=2\)  

For \(x=-1, y=-2\) ------>\(k=-2/-1=2\)  

For \(x=1, y=3\) ------>\(k=3/1=3\)  

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For \(x=-2, y=-4\) ------>\(k=-4/-2=2\)  

For \(x=-1, y=-2\) ------>\(k=-2/-1=2\)  

For \(x=1, y=2\) ------>\(k=2/1=2\)  

For \(x=2, y=4\) ------>\(k=4/2=2\)  

This table has the same value of k

therefore

the table C  represent a proportional relationship

Table D

For \(x=-2, y=-4\) ------>\(k=-4/-2=2\)  

For \(x=-1, y=-2\) ------>\(k=-2/-1=2\)  

For \(x=1, y=2\) ------>\(k=2/1=2\)  

For \(x=2, y=6\) ------>\(k=6/2=3\)  

This table has different values of k

therefore

the table D does not represent a proportional relationship

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