# Thread: table difference?

1. ## table difference?

create table difference like the following to determine each relationship is linear, quadratic, exponential, or neither. justify the answer

https://imgur.com/a/HZvINpp
https://ibb.co/nPF8xGm

please check if my answers are right

Table A):

since the first and second differences are constant its is A linear relationship

Table B):

since the ratio between y-value is constant therefor its exponential relationship

Table C):

since the second difference are constant and the first difference are not constant therefore its A quadratic relationship

Table D):

since the second difference are constant and the first difference are not constant therefore its A quadratic relationship

thanks much

2. ## Re: table difference? Originally Posted by yorkmanz create table difference like the following to determine each relationship is linear, quadratic, exponential, or neither. justify the answer

https://imgur.com/a/HZvINpp
https://ibb.co/nPF8xGm

please check if my answers are right

Table A):

since the first and second differences are constant its is A linear relationship
Since the first differences are constant, the second differences are necessarily 0. Yes, this is a linear relationship.

Table B):

since the ratio between y-value is constant therefor its exponential relationship
Yes.

Table C):

since the second difference are constant and the first difference are not constant therefore its A quadratic relationship
And the third differences are 0.

Table D):

since the second difference are constant and the first difference are not constant therefore its A quadratic relationship
Yes. But you seem to be overlooking the rather obvious point that if the "nth differences" are constant then the "n+ 1 th differences" MUST be 0!

thanks much

3. ## Re: table difference?

Thank you so much, yes D is A linear relationship.. i missed typed it.

For B):

The y is 3, 27, 243, 2187, 19683.
First difference = 24, 216, 1944, 17496. (Not 17676). correction
so the second table Second difference is 9, 9, 9
The relationship is Exponential, in first difference.

please check my answer and confirm its the right solution

Regards

Dan