Question

Which table shows a proportional relationship between a and b?

Answer 1

Answer:

B

Step-by-step explanation:

I first went through starting with A and took 3-9 (since it’s in the first box) I got -6 . You then divide 3 and 9 by -6 and report your answer.

I got 3/-6 = -.5 and And 9/-6 = -1.5

I then moved onto 4 and 12, I took the difference 4-12 and got -11.

4/-11 = -0.36 and 12 /-11 = -1.09

Since these answers are not the all the same I moved onto B

I took 20-25 = -5

20/-5 = -4 and 25/-5 = -5

Next numbers

24-30 = -6

24/6 = 4 and 30/6= 5

Next number

32-40= -8

32/-8 = -4

40/-8 = -5

( when putting this in fraction form it would be -4/-5 and that turns positive.) making this table proportioned unlike the other ones

Answer 2

Answer: option B is the correct answer.

Step-by-step explanation:

If two variables are proportional, a change in the value of one variable would cause a corresponding change in the value of the other variable. This means that both variables are related by a constant of proportionality, k.

Looking at the given tables,

For table A,

9/3 = 12/4 but not equal to 20/5

The relationship is not proportional.

For table B,

25/20 = 30/24 = 40/32 = 1.25

The relationship is proportional.

For table C,

12/4 = 15/5 but not equal to 24/6

The relationship is not proportional.

For table D,

4/3 = 16/12 but not equal to 9/6

The relationship is not proportional.