Question

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

(Making my own table)

(x) 2 l 4 l 8 l 12 l
____________
(y) 10 l 5 l 5/2 l 5/3

A: Direct Variation; y=20x

B: inverse Variation; xy= 20

C: inverse variation; y/x= 20

D: Direct Variation; y= 20/x

Answer 1

Answer: B: inverse Variation; xy= 20

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*10=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