Question

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box. x 2 4 6 8 y 0 2 4 6

Answer 1

Not proportional

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

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

In this problem we have the ordered pairs

(2,0),(4,2),(6,4) and (8,6)

we have that

For x=2, y=0 ----> the line not pass through the origin

therefore

The given table is not proportional

Answer 2

Not proportional

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=(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

In this problem we have the ordered pairs

(2,0),(4,2),(6,4) and (8,6)

we have that

For x=2, y=0 ----> the line not pass through the origin

therefore

The given table is not proportional