Question

Which of the following tables represents a proportional relationship?

x 2 4 6 8
y 3 4 5 6


x 2 3 4 5
y 3 6 9 12


x 3 5 7 9
y 4.5 7.5 10.5 13.5


x 1 4 7 10
y 0 3 6 9

Answer 1

@iGreen

Answer 2

The tables must be equal to y = kx.

Answer 3

Take two points from the first table, and see if k is the same in both of them.

(2, 3) (4, 4)

y = kx

(2, 3)

3 = k(2)

3 = 2k

3/2 = k

(4, 4)

4 = k(4)

4 = 4k

1 = k

This table is NOT proportional because it has different constants(k).

Answer 4

Now take two points from the second table:

(2, 3) (3, 6)

y = kx

(2, 3)

3 = k(2)

3 = 2k

3/2 = k

(3, 6)

3 = k(6)

3 = 6k

3/6 = k

This table is NOT proportional because it has different constants.

Answer 5

Take two points from the third table:

(3, 4.5) (5, 7.5)

y = kx

(3, 4.5)

4.5 = k(3)

4.5 = 3k

1.5 = k

(5, 7.5)

7.5 = k(5)

7.5 = 5k

1.5 = k

This table IS proportional because it has the same constant.

Answer 6

@ilovethemiddletvshow