Question

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4

1/2
2
4
8

Answer 1

`k = (1)/(2)`

Explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

`y = kx`

When y = 1, x = 2;

So, we have:

`1 = k * 2`

`2 * k = 1`

Make k the subject

`k = (1)/(2)`

Hence, the constant of proportionality is 1/2