The filled table is
x : 15 2 4 5 12
y : 60 8 16 20 48
How the missing values in the table is calculated.
Given that
X: 15, (fill), 4, (fill), 12
Y: (fill), 8, 16, 20, (fill)
If x is directly y it shows that there ratio is constant
y ∝ x
y = kx
where
k is constant of proportionality
From the table
when x = 4, y = 16
therefore,
k = 16/4 = 4
The relation between y and x is
y = 4x.
when x = 15
y = 4(15) = 60
When y = 8
x = y/4 = 8/4 = 2
when y = 20
x = 20/4 = 5
when x = 12
y = 4(12) = 48
The filled table is
x : 15 2 4 5 12
y : 60 8 16 20 48