Question

The quantities x and y are proportional

Answer 1

Answer:

$r = \frac{1}{4}$

Step-by-step explanation:

Given

The x and y values

Required

Determine the constant of proportionality

This is calculated from:

$y = rx$

Pick any corresponding x and y values:

$x = 8$ and $y = 2$

Substitute 8 for x and 2 for y in $y = rx$

$2 = r * 8$

Make r the subject

$r = \frac{2}{8}$

$r = \frac{1}{4}$

Pick another x and y values:

$x = 16$ and $y = 4$

$r = \frac{4}{16}$

$r = \frac{1}{4}$

Hence, the constant of proportionality is 1/4