Question

Use the table below. Do x and y have a proportional relationship? Explain.x 2, 3, 5, 8y 5, 7.5, 12.5, 18

Answer 1

Not a proportional relationship

Step-by-step explanation

For this to be a proportional relationship the ratio y:x for each pair of the table must be constant:

For the first pair:

`(5)/(2)`

Second pair:

`(7.5)/(3)=((15)/(2))/(3)=(15)/(3\cdot2)=(5)/(2)`

Third pair:

`(12.5)/(5)=((25)/(2))/(5)=(25)/(2\cdot5)=(5)/(2)`

Until now the ratio is constant, but for the fourth pair:

`(18)/(8)=(9)/(4)`

The ratio is different. Therefore, the relation between x and y in the table is not proportional.