Respuesta :

Answer:

r = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Given x and y are proportional and

y = rx ← r is the constant of proportionality

To find r use any ordered pair from the table

Using x = 15, y = 3, then

r = [tex]\frac{y}{x}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

The constant of proportionality will be equal to 1 / 5 .

What is constant of proportionality?

The ratio of two proportional values at a constant value is known as the constant of proportionality. When either their ratio or product results in a constant, two variables' values are said to be proportionally related.

The ratio between the two stated quantities determines the value of the proportionality constant.

Given that the variables are related as y = rx

At y = 1.6,  x = 8

At y = 3,  x = 15

At y = 4.4,  x = 22

The constant of proportionality will be calculated by putting all the values of x and y in the given relation.

y = rx

At y = 1.6,  x = 8

1.6 = r x 8

r = 1.6 / 8 = 1 / 5

At y = 3,  x = 15

3 = r x 15

r = 3 / 15 = 1 / 5

At y = 4.4, x = 22

4.4 = r x 22

r = 4.4 / 22  = 1 / 5

Therefore, the constant of proportionality will be equal to 1 / 5.

To know more about the constant of proportionality follow

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