contestada

Do these pairs of values (x and y) represent two quantities that are
proportional?
A. Yes, because as x increases, y increases.
B. No, because not all of the pairs represent the same ratio.
C. Yes, because the ratios į and i are equal.
O D. No, because not all of the pairs are simplified ratios.

Do these pairs of values x and y represent two quantities that are proportional A Yes because as x increases y increases B No because not all of the pairs repre class=

Respuesta :

Answer: B) No, because not all of the pairs represent the same ratio

For each row, divide y over x

Row 1:  y/x = 5/3 = 1.67 approximately

Row 2: y/x = 7.4 = 1.75

Row 3: y/x = 10/6 = 1.67 approximately

Row 4: y/x = 15/9 = 1.67 approximately

We see that row 2 has a ratio different from the others. If we were able to ignore this row, then the answer would be "yes x and y are proportional". However, we cannot ignore this row so that's why the answer is choice B.

facundo3141592

We want to see if the relationship between x and y is proportional or not.

We will see that the correct option is B:

"No, because not all of the pairs represent the same ratio."

Let's see how to solve this.

First, a proportional relationship is something of the form:

y = k*x

Where k is the constant of proportionality.

So to see if the relationship between x and y is proportional, we can input the pairs on the general proportional relationship.

For the first pair, we have x = 3 and y = 5, then:

5 = k*3

Now we can find the value of k:

k = 5/3 = 1.667

Now let's do the same for the second pair of points, we should get the same constant of proportionality.

7 = k*4

k = 7/4 = 1.75

So we got different constants of proportionality for two different x-y pairs, thus, the relationship is not proportional.

Because k is defined as the ratio between y and x, we can say that the relationship is not proportional because not all of the pairs represent the same ratio.

Thus the correct option is B.

If you want to learn more, you can read:

https://brainly.com/question/13114933

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