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
or not proportional

Answer 1

1/2

Explanation:

divide each one by two

Answer 2

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 = 2, x = 4;

So, we have:

`2 = k * 4`

`2 = 4k`

`4k = 2`

Make k the subject

`k = (2)/(4)`

`k = (1)/(2)`

Hence, the constant of proportionality is 1/2