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allsm [11]
3 years ago
10

Which best describes the function represented by the table?

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

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

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