Question

X Y

3 −2
6 −4
9 −6
12 −8

Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of y/x


A) yes; −
`(2)/(3)`
B) yes; −
`(5)/(3)`
C) yes; −
`(2)/(5)`
D) The table does not represent a proportional relationship.

Answer 1

The required "option A) yes;
`(-2)/(3)`" is correct.

Explanation:

The given table:

X Y

3 − 2

6 − 4

9 − 6

12 − 8

To find, the constant ratio,
`(y)/(x)` = ?

The constant ratio,
`(y)/(x)` =
`(-2)/(3)`,

The constant ratio,
`(y)/(x)` =
`(-4)/(6)` =
`(-2)/(3)`,

The constant ratio,
`(y)/(x)` =
`(-6)/(9)` =
`(-2)/(3)` and

The constant ratio,
`(y)/(x)` =
`(-6)/(9)` =
`(-2)/(3)`

Thus, the required option A) yes;
`(-2)/(3)` is correct.