Question

Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?

X
0
4
8
10
>
0
0.5
1
1 25
X
-
5
10 12.5
y
0
4
8
10
0
4
8
*
10
0.8 0.8 0.8 0.8
X
0
5
10 125
y
0810 820 8.25 8
Please hurry I’m going to get my phone taking away if I don’t finish my work

Answer 1

second table

Explanation:

For a proportional relationship, the constant of proportionality k is

k =
`(y)/(x)`

Choose an ordered pair from each table and evaluate for k

Table 1

using (8, 1 ), then

k =
`(1)/(8)` = 0.125 ≠ 0.8

Table 2

using (10, 8 ), then

k =
`(8)/(10)` = 0.8

Table 3

using (8, 0.8 ), then

k =
`(0.8)/(8)` = 0.1 ≠ 0.8

Table 4

using (10, 20.8 ), then

k =
`(20.8)/(10)` = 2.08 ≠ 0.8

Table 2 has a constant of proportionality k = 0.8