Step-by-step explanation:
For table 1,
x = 20 36 56 80
y = 4 6 8 10
Taking 20/4 = 5
36/6 = 6
56/8 = 7
80/10 = 8
The value of x/y is not same in any of the cases. The constant of proportionality is different. It means x and y for this table is not proportional.
For table 2,
x = 28 42 56 70
y = 20 30 40 50
Taking 28/20 = 1.4
42/30 = 1.4
56/40 = 1.4
70/50 = 1.4
The value of x/y is same in each case. The constant of proportionality is same i.e. 1.4 in each case.
[tex]\dfrac{x}{y}=1.4\\\\\dfrac{y}{x}=\dfrac{1}{1.4}\\\\\dfrac{y}{x}=\dfrac{5}{7}\\\\y=\dfrac{5}{7}\times x[/tex]
So, y is 5/7 times of the x.
