Answer:
[tex]r = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
The x and y values
Required
Determine the constant of proportionality
This is calculated from:
[tex]y = rx[/tex]
Pick any corresponding x and y values:
[tex]x = 8[/tex] and [tex]y = 2[/tex]
Substitute 8 for x and 2 for y in [tex]y = rx[/tex]
[tex]2 = r * 8[/tex]
Make r the subject
[tex]r = \frac{2}{8}[/tex]
[tex]r = \frac{1}{4}[/tex]
Pick another x and y values:
[tex]x = 16[/tex] and [tex]y = 4[/tex]
[tex]r = \frac{4}{16}[/tex]
[tex]r = \frac{1}{4}[/tex]
Hence, the constant of proportionality is 1/4
