Question

Text the answer 770-765-3026

Answer 1

Answer:

A proportional relationship is there.

Step-by-step 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 = $\frac{3.5 - (-1)}{-2 - (-8)} =0.75$

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

And, rate of change of y with respect to x will be from the third two pair of values is = $\frac{20-12.5}{20 - 10} =0.75$

So, the rate is always 0.75.

Therefore, a proportional relationship is there. (Answer)

Answer 2

Answer:

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

Step-by-step 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.

$\frac{y_1}{x_1}=-\frac{-1}{-8}=\frac{1}{8}$

$\frac{y_2}{x_2}=-\frac{3.5}{-2}=-\frac{7}{4}$

Now, $\frac{1}{8}\ne -\frac{7}{4}$

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