PLEASE HELP ILL MARK BRAINLY One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.

PLEASE HELP ILL MARK BRAINLY One of the tables shows a proportional relationship Graph the line representing the proportional relationship from this table class=

Respuesta :

Answer:

A proportional relationship is something like:

y = k*x

where k is the constant of proportionality.

Notice that in these relationships we will always have the pair (0, 0)

because if x = 0:

y = k*0 = 0

Then we always have x= 0, y = 0.

Notice that in the first two tables we have the points:

(2, 0) in the first one

(0, 1) in the second one.

then neither of these can be a proportional relationship.

The only option left is the third one.

To graph the relationship, we can just graph the four points in the table.

Then draw a line that passes through all the points, like in the image below.

And this line is written as:

y = 3*x

such that:

y(1) = 3*1 = 3 -----> (1, 3)

y(2) = 3*2 = 6 -----> (2, 6)

y(3) = 3*3 = 9 ------>  (3, 9)

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