Question

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

Answer 1

Table 2

Explanation:

Since y is proportional to x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use a ordered pair from each table

k =
`(y)/(x)`

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

The only table representing a proportional relationship with k = 0.8 is

Table 2