Question

Which table shows a proportional relationship between x and y ?

Answer 1

The upper right table shows a proportional relation: y = 4x.

_____
Upper left: y = 4x+4, linear but not proportional
Lower left: y = x^2, quadratic
Lower right: y = 2^x, exponential

Answer 2

Answer:

Table 2 shows a proportional relationship between x and y.

Step-by-step explanation:

We are given four options with table

Table 1:

x    : 0    1     2

y    : 4    8    12

Now we make equation of given table.

$y=4x+4$

This is linear relation not proportional.

Table 2: (TRUE)

x    : 1     2    3

y    : 4    8    12

Now we make equation of given table.

$y=4x$

This is a proportional equation. Because y is proportional to x with constant of proportionality 4.

Table 3:

x    : 0    1     2

y    : 0    1    4

Now we make equation of given table.

$y=x^2$

This is quadratic

Table 4:

x    : 1     2    3

y    : 2    4    8

Now we make equation of given table.

$y=2^x$

This is exponential function.

Thus, Table 2 shows a proportional relationship between x and y.