y varies directly with x.
The constant of variation is k = 7
Step-by-step explanation:
We have to check whether both vary directly with each other or not.
Every pair of x and y will be considered one by one
If y varies directly with x, it should satisfy y = kx or k = yx
So,
For x= -2, y=-14
[tex]-14 = -2k\\k = \frac{-14}{-2}\\k = 7[/tex]
For
x=3, y=21
[tex]21 = 3k\\ k = \frac{21}{3}\\k = 7[/tex]
For
x=5, y=35
[tex]35 = 5k\\ k = \frac{35}{5}\\k = 7[/tex]
As k is same for all pairs of x and y, it can be concluded that:
y varies directly with x.
The constant of variation is k = 7
Keywords: Proportion, variation
Learn more about proportion at:
- brainly.com/question/10703930
- brainly.com/question/10772025
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