Do the values in this table represent a proportional relationship?
x 2 4 6 8
y 1 2 3 4
Responses
Yes, and the constant of proportionality is 12.
Yes, and the constant of proportionality is , 1 half, .
Yes, and the constant of proportionality is 2.
Yes, and the constant of proportionality is 2.
No.
No.
I don't know.
No.
No.
To determine if the values in the table represent a proportional relationship, we need to check if they can be written in the form y = kx, where k is a constant.
Let's check each value pair in the table:
For the first pair (x=2, y=1), we can see that y is half of x. Since y is half of x for all the other pairs as well, we can conclude that the values do represent a proportional relationship.
Now, let's determine the constant of proportionality. To do this, we can take any pair of values and divide y by x. Let's choose the second pair (x=4, y=2):
y/x = 2/4 = 1/2
So, the constant of proportionality for this table is 1/2.
Thus, the correct response is:
Yes, and the constant of proportionality is 1/2.