Find the constant of proportionality for the tables of values

It is clear that the value of the constant of proportionality k remains the same.

Thus, the value of the constant of proportionality k = 3.5

Step-by-step explanation:

Given the table

x             6               7                    8                9

y            21            24.5                28              31.5

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is termed as the constant of proportionality.

Now, taking the points from the table to determine the constant of proportionality k:

FOR (6, 21)

substituting x = 6, y = 21 in the equation

k = y/x

k = 21 / 6

k = 7 / 2

k = 3.5

FOR (7, 24.5)

substituting x = 7, y = 24.5 in the equation

k = y/x

k = 24.5/7

k = 3.5

FOR (8, 28)

substituting x = 8, y = 28 in the equation

k = y/x

k = 28/8

k = 7/2

k = 3.5

FOR (9, 31.5)

substituting x = 9, y = 31.5 in the equation

k = y/x

k = 31.5 / 9

k =  3.5

It is clear that the value of the constant of proportionality k remains the same.

Thus, the value of the constant of proportionality k = 3.5

1 1/5

step-by-step explanation:

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (