Question

The quantities x and y are proportional.

Find the constant of proportionality (r) in the equation y= rx.

R=_?

Answer 1

r = 0.5

Explanation:

Since we're told that the quantities x and y are proportional and this is represented by the equation y = rx, one variable is a constant multiple of the other.

Thus, we can find r by simply plugging in one of the quantities for y and its corresponding x value and isolating r.

Let's use 9 for x and 4.5 for y:

(4.5 = 9r) / 9

0.5 = r

Thus, the constant of proportionality is 0.5.

This means that x is constantly multiplied by 0.5 to get y.