Question

Which table shows a proportional relationship between x and y? Plz Help

Answer 1

Answer:

The proportional table in the attached figure

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 $k=\frac{y}{x}$ or $y=kx$

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

Find the value of the constant of proportionality k for each ordered pair of a table.

$k=\frac{y}{x}$

If all the values of k are the same, then the table represent a proportional relationship between x and y

Table 1

For x=1, y=2 ----> $k=\frac{2}{1}=2$

For x=2, y=4 ----> $k=\frac{4}{2}=2$

For x=3, y=8 ----> $k=\frac{8}{3}=2.7$

The values of k are not equal

so

This table not represent a proportional relationship between x and y

Table 2

For x=0, y=4

The line not passes through the origin

so

This table not represent a proportional relationship between x and y

Table 3

For x=0, y=0 ----> is OK the line passes though the origin

For x=1, y=1 ----> $k=\frac{1}{1}=1$

For x=2, y=4 ----> $k=\frac{4}{2}=2$

The values of k are not equal

so

This table not represent a proportional relationship between x and y

Table 4

For x=1, y=4 ----> $k=\frac{4}{1}=4$

For x=2, y=8 ----> $k=\frac{8}{2}=4$

For x=3, y=12 ----> $k=\frac{12}{3}=4$

The values of k are the same

so

This table represent a proportional relationship between x and y