Question

Witch table shows a proportional relationship between a and b

Answer 1

Answer:

Option B is correct.

Step-by-step explanation:

A proportional relationship is a relationship between two variables where the ratio between the two variables is always the same.

Divide b/a for each option, the option having same ratio for the complete tables have proportional relationship

a)

9/3 = 3

12/4 = 3

20/5 = 4

b)

25/20 = 5/4

30/24 = 5/4

40/32 = 5/4

c)

12/4 = 3

15/5 = 3

24/6 = 4

d)

4/3 = 4/3

9/6 = 3/2

12/16 = 3/4

So, Option B is correct.

Answer 2

Answer: Second Option

Step-by-step explanation:

It is said that two variables a and b are propocionales if when b increases then a increases in a constant rate.

That is, a and b are proportional if the quotient between b and a is always equal to a constant k.

$\frac{b}{a}=k$

To know which of the tables shows a proportional relationship identify in which of the tables the division of b between a always is constant

You can verify that the table where the quotient of b enters a is always constant is in the second table

$\frac{b}{a}=\frac{5}{4}$