Question

Help please!!!

Answer 1

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

$-14 = -2k\\k = \frac{-14}{-2}\\k = 7$

For

x=3, y=21

$21 = 3k\\ k = \frac{21}{3}\\k = 7$

For

x=5, y=35

$35 = 5k\\ k = \frac{35}{5}\\k = 7$

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
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