Question

What is the constant of proportionality for the relationship shown on the table.

Answer 1

Answer: 2

Explanation:

Answer 2

The constant of proportionality = 2

Explanation:

Two quantities P and Q are said to be proportional if for P ∝ Q iff
`(P)/(Q)  = k`

Here, k = Proportionality Constant

Now, here given

Case 1: x = 2, y = 1

So,
`k = (x)/(y)  =  (2)/(1) = 2`

Case 2: x = 4, y = 2

So,
`k = (x)/(y)  =  (4)/(2) = 2`

Case 3: x = 6, y = 3

So,
`k = (x)/(y)  =  (6)/(3) = 2`

Case 4: x = 8, y = 4

So,
`k = (x)/(y)  =  (8)/(4) = 2`

So, in each case we observe that the value of k = 4

Hence the constant of proportionality = 2