Determine whether the variable y varies directly with x. X:-1,0,1,2,3,4 Y:-3,3,9,15,21,27
To determine if the variable y varies directly with x, we need to check if there is a constant ratio between the values of y and x.
Given:
X: -1, 0, 1, 2, 3, 4
Y: -3, 3, 9, 15, 21, 27
If we observe the relationship between x and y, we can calculate the ratio of y to x:
-1: (-3)/-1 = 3
0: 3/0 = undefined
1: 9/1 = 9
2: 15/2 = 7.5
3: 21/3 = 7
4: 27/4 ≈ 6.75
Since the ratio of y/x is not constant as x changes, it can be concluded that the variable y does not vary directly with x in this case.