Question

PLEASE ANSWER ASAP!

Which table shows a proportional relationship between x and y?
A,x 3 6 8 10 y 12 15 18 20
B,x 1 2 7 8 y 0.5 1 3.5 4
C,x 3 7.5 15 20 y 1 2.5 4 6
D,x 2 3 4 5 y 7 9 11 13

Answer 1

Table B shows a proportional relationship between x and y

Explanation:

x y

1 0.5

2 1

7 3.5

8 4

It is clear from the table that y varies directly with x.

Using the formula

y ∝ x

y=kx

Where k is the constant of proportionality

In order to find 'k',

k=y/x

Putting the values of x and y from the given table to determine the constant of proportionality

For (1, 0.5)

k=0.5/1=0.5

For (2, 1)

k = 1/2 = 0.5

For (7, 3.5)

k = 3.5/7 = 0.5

For (8, 4)

k = 4/8 = 0.5

As the value of the constant of proportionality 'k' is the same.

Thus, table B shows a proportional relationship between x and y