Find the constant of variation k for the direct variation.
A. k = 0
B. k = 0.5
C. k = –0.5
D. k = –2
In order to figure out this question, we will be looking at what we have to multiply the values in the x column by in order to get the corresponding F(x) value. So, let's begin:
So what times zero equals zero?
Well, everything, so that doesn't really help us
Now, let's look at x=2. So we need to find some number, let's call it k, that when we multiply it by 2 we get -1.
We set up this equation: 2k=-1
We solve for k by "undo-ing" the multiplication of 2 and k.
So k= -0.5
We can repeat that process for the other x values too. (or just check it since we have a direct variation)
If you have any questions, please let me know :)
so its c right ?
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