The constant of proportionality is a value that represents the ratio between the dependent variable (y) and the independent variable (x) in a proportional relationship. In this case, the constant of proportionality can be found by dividing the values of y by the values of x:
For x = 3, y = 2, so the ratio is 2/3.
For x = 6, y = 4, so the ratio is 4/6 = 2/3.
For x = 9, y = 6, so the ratio is 6/9 = 2/3.
For x = 12, y = 8, so the ratio is 8/12 = 2/3.
As you can see, the ratio between y and x is always 2/3. Therefore, the constant of proportionality in this case is 2/3.
What is constant of proportionality?
x:3 6 9 12
y: 2 4 6 8
3 answers
are you sure
I apologize, I made a mistake in my response. Let's recalculate the constant of proportionality.
To find the constant of proportionality, we need to divide the values of y by the corresponding values of x:
For x = 3, y = 2, so the ratio is 2/3.
For x = 6, y = 4, so the ratio is 4/6 = 2/3.
For x = 9, y = 6, so the ratio is 6/9 = 2/3.
For x = 12, y = 8, so the ratio is 8/12 = 2/3.
As you can see, the ratio between y and x is always 2/3. Therefore, the constant of proportionality in this case is indeed 2/3. I apologize for the confusion in my previous response.
To find the constant of proportionality, we need to divide the values of y by the corresponding values of x:
For x = 3, y = 2, so the ratio is 2/3.
For x = 6, y = 4, so the ratio is 4/6 = 2/3.
For x = 9, y = 6, so the ratio is 6/9 = 2/3.
For x = 12, y = 8, so the ratio is 8/12 = 2/3.
As you can see, the ratio between y and x is always 2/3. Therefore, the constant of proportionality in this case is indeed 2/3. I apologize for the confusion in my previous response.