Question

Explain why each table determine if y is proportional to x .

Answer 1

see explanation

Explanation:

If y is proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k divide both sides by x

k =
`(y)/(x)`

This value must be constant for all ordered pairs, thus

k =
`(4)/(6)` =
`(2)/(3)`

k =
`(6)/(9)` =
`(2)/(3)`

k =
`(8)/(12)` =
`(2)/(3)`

k =
`(2)/(3)`

Since k is constant for all ordered pairs then y is proportional to x