Find the constant of variation k for the direct variation.

Mathematics
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Find the constant of variation k for the direct variation.

X               F(x)

0               0

2               -1

4              -2

7             -3.5


A.  k = 0

B.  k = 0.5

C.  k = –0.5

D.  k = –2

Apr 26th, 2015

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.  

                 2k=-1

                 2k/2=-1/2

                   k=-1/2= -.5

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)

4(-.5)=-2 √

7(-.5)=-3.5√


If you have any questions, please let me know :)



Apr 26th, 2015

so its c right ?

Apr 26th, 2015

Yes indeed

Apr 26th, 2015

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