Question

Does the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table.

Answer 1

Answer: B: inverse Variation; xy= 20

Step-by-step explanation:

From the given table, it can be seen that when the values of x is increasing then the values of y decreasing .

Therefore, it is clear that there is inverse variation between x and y.

Also, the equation of inverse variation is given by :-

$xy=k$

For x=2 and y=10, we have  :

$k=2\times10=20$

Now, the equation of inverse variation with k =20 will be :

$xy=20$

Answer 2

2*10 =20

4*5 =20

8 *5/2 = 20

answer is B inverse variation, xy = 20