Question

Determine whether y varies directly with x if so find the constant of variation k. 3y=-7x-18

A- yes; 3
B-yes; -7
C-no
D- yes; 7/3

Answer 1

The equation y = -7/3x - 6 represents a direct variation, therefore the answer is yes and the constant of variation is -7/3.

Step-by-step explanation:

To determine whether y varies directly with x, we need to check if the equation can be written in the form y = kx, where k is the constant of variation.

From the equation 3y = -7x - 18, we can rewrite it as y = (-7/3)x - 6. Therefore, y does vary directly with x and the constant of variation is k = -7/3.

So the correct answer is D - yes; 7/3.

Answer 2

If y varies directly with x, then a relationship exists in the form y = kx +c
where k = the constant of variation.

The given relationship is
3y = 7x - 18
or
y = (7/3)x - 6
Therefore the constant of variation is 7/3.

Answer: D. Yes; 7/3