Question

Which table shows a proportional relationship between x and y

Answer 1

The first one because if you multiply 15 by 5 you will get 75. All you have to do is multiply 15 by any of the x's and you will get the y as an answer. This is how you know if it is proportional or not.

Explanation:

Answer 2

The answer is the first one.

Explanation:

In order to determine the correct tables, we have to know about the direct proportionality.

We say that two variables are in direct proportionality when if one variable increases, the other will increase as well. Also the rate of both variables is a constant.

I have attached an image that shows a graph of a direct proportionality. We can see that always the increment of one variable is related to the increment of the other variable.

So, first we have to see which chart both variables increase at the same time. All charts fulfill that condition.

Then we have to determine which chart the rate of both variable is constant:

First chart:

`(1)/(15)=0.067\\(5)/(75)=0.067\\(8)/(120)=0.067\\(10)/(150)=0.067\\`

The rate is constant. Therefore first chart is in direct proportionality.

Second chart:

`(4)/(6)=0.67\\(6)/(8)=0.75`

The rate is not constant.

Third chart:

`(2)/(3)=0.67\\(3)/(4)=0.75`

The rate is not constant.

Fourth chart:

`(3)/(1)=3\\(9)/(3)=3\\(10)/(4)=2.5\\`

The rate is not constant.

Finally, the table with a direct proportionality is the first one.