Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

TABLE

x y
-------
2 10
4 24
6 36​

Answer 1

y does not vary directly with x

Explanation:

The equation for direct variation is

y = kx ← k is the constant of variation

If k is constant for all ordered pairs in the table then direct variation.

k =
`(y)/(x)`

(2, 10 ) → k =
`(10)/(2)` = 5

(4, 24 ) → k =
`(24)/(4)` = 6

(6, 36 ) → k =
`(36)/(6)` = 6

Since k is not constant for all pairs then y does not vary directly with x