Question

The quantities x and y are proportional.

x y
​11 11/9
21 7/3
45 5
Find the constant of proportionality r in the equation y=rx.
a.1/9
b.1/3
c.2/3
d.5/9

Answer 1

The constant of proportionality between x and y is 1/9.

Step-by-step explanation:

To determine the constant of proportionality, we need to find the ratio between the values of x and y. Let's take the first set of values, x = 11 and y = 11/9. We can see that 11/9 = 1.2222...

Now, let's calculate the ratio for the other sets of values:

• For x = 21 and y = 7/3, the ratio is 7/3 / 21 = 1/9
• For x = 45 and y = 5, the ratio is 5 / 45 = 1/9

From these calculations, we can see that the constant of proportionality is 1/9. Therefore, the correct answer is option a) 1/9.