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Which of the following tables represents a linear relationship that is also proportional?

x 2 3 4
y −3 0 3

x 4 2 0
y −2 −1 0

x −2 1 4
y 0 1 2

x 0 1 2
y −4 0 4

2 Answers

3 votes

Answer:

The second table represents a linear relationship that is also proportional.

To check if a relationship is proportional, we need to see if the ratio of y to x is constant for all values of x and y. In other words, if we divide any y value by its corresponding x value, we should get the same number for all values.

Let's check the ratio for each table:

Ratio for the first table:

-3/2 = -1.5

0/3 = 0

3/4 = 0.75

The ratio is not constant, so this relationship is not proportional.

Ratio for the second table:

-2/4 = -0.5

-1/2 = -0.5

0/0 = undefined

The ratio is constant (-0.5), so this relationship is proportional.

Ratio for the third table:

0/(-2) = 0

1/1 = 1

2/4 = 0.5

The ratio is not constant, so this relationship is not proportional.

Ratio for the fourth table:

-4/0 = undefined

0/1 = 0

4/2 = 2

The ratio is not constant, so this relationship is not proportional.

Therefore, the second table is the only one that represents a linear relationship that is also proportional.

User Midnite
by
8.6k points
3 votes

Answer:

This table represents a linear relationship that is also proportional:

x 0 1 2

y −4 0 4

User Samer El Gendy
by
7.5k points

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