Mathematics: 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

S+g=425g=s+25subsisutes+s+25=4252s+25=425subtract 25 2s=400divide 2s=200subsisuteg=200+25g=225seiji=200gavin=225...

Which best describes the function represented by

sevindjdna

09.03.2022

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

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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