Answer:
[tex]k = \frac{1}{2}[/tex]
Step-by-step 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:
[tex]y = kx[/tex]
When y = 1, x = 2;
So, we have:
[tex]1 = k * 2[/tex]
[tex]2 * k = 1[/tex]
Make k the subject
[tex]k = \frac{1}{2}[/tex]
Hence, the constant of proportionality is 1/2
