Question

Text the answer 770-765-3026

Answer 1

The given relationship between
`x` and
`y` are not proportional to each other as the ratio is not same.

Explanation:

A proportional relationship gives the ratio of the two related quantities same for any pair of the variables.

`x_1=-8,y_1=-1\\x_2=-2,y_2=3.5\\x_3=10,y_3=12.5\\x_4=20,y_4=20`

Let us check the ratio of the first two pair of variables and observe whether they are equal or not.

`(y_1)/(x_1)=-(-1)/(-8)=(1)/(8)`

`(y_2)/(x_2)=-(3.5)/(-2)=-(7)/(4)`

Now,
`(1)/(8)\\e -(7)/(4)`

So, the given relationship between
`x` and
`y` are not proportional to each other as the ratio is not same.

Answer 2

A proportional relationship is there.

Explanation:

Here in the table, the values of y are given corresponding to the values of x.

There are four sets of values of x and y.

We have to check whether the relationship is proportional or not.

Now, rate of change of y with respect to x will be from the first two pair of values is =
`(3.5 - (-1))/(-2 - (-8)) =0.75`

Again, rate of change of y with respect to x will be from the second two pair of values is =
`(12.5 - 3.5)/(10 - (-2)) =0.75`

And, rate of change of y with respect to x will be from the third two pair of values is =
`(20-12.5)/(20 - 10) =0.75`

So, the rate is always 0.75.

Therefore, a proportional relationship is there. (Answer)