Question

In a direct variation, y is negative two when x is 4. What is y when x equals negative fourteen?

Answer 1

Direct variation means in the form

\[\large y = kx\]

So when x = 4...y = -2 , pug those in...

\[\large -2 = 4k\]
Divide both sides by 4 to find out what k is...

\[\large k = -\frac{1}{2}\]

Now that we know k = -1/2 we can solve the second part of the question...

when x = -14 y = ?

\[\large y = kx\]
\[\large y = -\frac{1}{2}x\]

When x = -14...

\[\large y = -\frac{1}{2}\times -14\]
\[\large y = \frac{14}{2}\]
\[\large y = ?\]

Answer 2

so it is 5

Answer 3

\[\large \frac{14}{2} \cancel={5} \]

Answer 4

so it not 5

Answer 5

Well 14 divided by 2 is definitely not 5

Answer 6

it is 7

Answer 7

Great!

Answer 8

sorry i was look at to Questions at the same time