Determine whether y varies directly with c. if so, find the constant of variation k and write the equations.

y varies directly with x if and only if there exists a constant k such that

for every input/output couple. If so, we have

Let's see if our input/output couples satisfy this request: the first couple yields

The second couple yields

The third couple yields

The last couple yields

So, the ratio is indeed constant

your answer is the frist one

hop i

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.