Question

Which best describes the function represented by the

table?
Х
-2
2
4
6
Y у
-5
5
10
15
O direct variation; k = 33 를
O direct variation; k = 5
- 를
O inverse variation; k = 10
direct variation; k = 1
10

Answer 1

Direct variation

`k = 2.5`

Explanation:

Given

The attached table

Required

The type of variation

First, we check for direct variation using:

`k = (y)/(x)`

Pick corresponding points on the table

`(x,y) = (-2,-5)`

So:

`k = (-5)/(-2) = 2.5`

`(x,y) = (4,10)`

So:

`k = (10)/(4) = 2.5`

`(x,y) = (6,15)`

So:

`k = (15)/(6) = 2.5`

Hence, the table shows direct variation with
`k = 2.5`