Find the constant of proportionality r in the equation y = rx

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 .
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.
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