Question

What equation represents the proportional relationship displayed in the table?

x 0 4 7 8
y 0 24 42 48
Enter your answer in the box to complete the equation.
y = x

Answer 1

The proportional relationship increases by 6

Answer 2

Answer:
`y=6x`

Explanation:

The equation that shows directly proportional relationship between the two variables x and y is given by :-

`y=kx` (1)

Using table , first substitute y=24 for x=4

`24=k(4)\\\\\Rightarrow\ k= (24)/(4)=6\\\\\Rightarrow\ k=6`

We can check further

For y=7 for x=42

`42=k(7)\\\\\Rightarrow\ k= (42)/(7)=6\\\\\Rightarrow\ k=6`

Substitute the value of k in the equation (1) , we get the equation represents the proportional relationship displayed in the table :-

`y=6x`

Hence, the correct answer is
`y=6x`