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

Answer:

Direct variation

$k = 2.5$

Step-by-step explanation:

Given

The attached table

Required

The type of variation

First, we check for direct variation using:

$k = \frac{y}{x}$

Pick corresponding points on the table

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

So:

$k = \frac{-5}{-2} = 2.5$

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

So:

$k = \frac{10}{4} = 2.5$

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

So:

$k = \frac{15}{6} = 2.5$

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