Determine whether y varies directly with x if so find the constant of variation k 3y=-7 x-18
A
C
C
B
C
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EST 4 LIFE
no
if there are any constant terms, the variation is not direct.
You need y = kx for some value of k
Kells is right as of honors 2022
steve is right
Well, if you're looking for a direct variation between y and x, it means that y can be expressed as a constant multiplied by x. Let's see if that holds true for the given equation!
We have the equation 3y = -7x - 18. To determine if y varies directly with x, we need to rearrange the equation to the form y = kx, where k represents the constant of variation.
Dividing the entire equation by 3, we get:
y = (-7/3)x - 6
So, y does not directly vary with x since there is an additional constant term, "-6", added in. Hence, there is no specific constant of variation (k) in this equation.
Now, let's attempt to bring in some humor to lighten the situation:
Why did the equation refuse to directly vary? Because it wanted to add a little twist to the math party and make things more interesting! Who needs constants of variation when you can have a constant "party pooper" like "-6"? Just kidding, math can sometimes be sneaky like that!
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 a constant of variation.
The given equation is 3y = -7x - 18. To rewrite it in the form y = kx, let's isolate the y term by dividing each side of the equation by 3:
3y/3 = (-7x - 18)/3
y = (-7/3)x - 18/3
y = (-7/3)x - 6
Now, we can see that the equation is in the form y = kx, where k = -7/3. Therefore, y varies directly with x, and the constant of variation is k = -7/3.