Question

Please help!! Which table shows a proportional relationship between x and y?

Answer 1

Answer: The second table

Explanation:

For the table to show proportional relationship between x and y , then they must have a common ratio. that is x/y must be the same throughout

Table 1

`x_(1)` = 1
`y_(1)` = 2

`x_(2)` = 3
`y_(2)` = 5

`x_(3)` = 4
`y_(3)` = 8

`x_(4)` = 7
`y_(4)` = 14

`(x_(1))/(y_(1))` = 1/2

`(x_(2))/(y_(2))` = 3/5

`(x_(3))/(y_(3))` = 4/8 = 1/2

`(x_(4))/(y_(4))`= 7/14 = 1/2

Since the ratio is not the same throughout , then x and y are not proportional

Table 2

`x_(1)` = 7
`y_(1)` = 1

`x_(2)` = 14
`y_(2)` = 2

`x_(3)` = 28
`y_(3)` = 4

`x_(4)` = 35
`y_(4)` = 5

`(x_(1))/(y_(1))` = 7/1 = 7

`(x_(2))/(y_(2))` = 14/2 = 7

`(x_(3))/(y_(3))` = 28/4 = 7

`(x_(4))/(y_(4))`= 35/5 = 7

Since the ratio is the same throughout , it means that x and y are proportional.

Doing the same for table 3 and 4 , x and y are not proportional