Question

Which best describes the function represented by the table?

direct variation; k = 2/5
direct variation; k = 5/2
inverse variation; k = 10
direct variation; k = 1/10

Answer 1

Answer:

Option B is correct.

direct variation; k = 5/2

Step-by-step explanation:

The Direct variation says:

$y \propto x$

then the equation is of the form: $y = kx$   ......[1] where k is the constant of variation.

From the given table:

Consider x = -2 and y = -5

Substitute these in [1] to solve for k;

$-5 = -2k$

or

5 = 2k

Divide both sides by 2 we get;

$k = \frac{5}{2}$

⇒ the equation becomes: $y = \frac{5}{2}x$

Check:

Take x = 4 and y = 10;

$y = \frac{5}{2}x$

$10 = \frac{5}{2} \times 4$

$10 = 5 \times 2$

10 = 10  True

Therefore, the direct variation ; $k = \frac{5}{2}$ best describe the function represented by the table

Answer 2

Answer:

The second answer should be correct. "direct variation; k = 5/2"