Question

X y

3 −2
6 3
9 8
12 13

Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of
y
x
?
A) yes;
5
3
B) yes;
3
5
C) yes;
1
3
D) The table does not represent a proportional relationship.

Answer 1

A

both the x and y values are increasing at a steady rate (x by 3 and y by 5)

because it’s y/x, you would put the increase in the y value over the increase in the x value

hope that helps :)

Answer 2

A.

Explanation:

Yes, they have a proportional relationship.

The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:

`m=(13-(-2))/(12-3) =(15)/(9)=(5)/(3)`

This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.

Therefore, the right answer is the first one A.