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danu

Guest

table difference ?

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

table image link:

https://imgur.com/a/HZvINpp

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

please check the answers. also please check the wording answers if better answer than my answer

thanks much

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: table difference ?

Hi,

The Answers A, C, and D are partially correct.

That is,

A) First diff. = 24, 24, 24; Second Diff. = 0 : Linear. Common difference is the same in first difference. Arithmetic Progression.

C) First diff. = 18, 34, 50, 66; second diff. 16, 16, 16 : Common difference in first difference is increasing in Arithmetic Progression : Quadratic.

D) First diff. = -7, -17, -27, -37. -47. Second diff. = 0. Common difference is the same, that is -10, in first difference. Linear.

Regarding B,

The first differences ought to be 3, 27, 243, 2187, 19683.
First difference = 24, 216, 1944, 17496. (Not 17676).
Second diff. = 9, 9, 9 :
The series is Exponential, in first difference.

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yorkmanz

Member

Registered: 2019-01-12

Posts: 13

Re: table difference ?

Hi,

The Answers A, C, and D are partially correct.

That is,

A) First diff. = 24, 24, 24; Second Diff. = 0 : Linear. Common difference is the same in first difference. Arithmetic Progression.

C) First diff. = 18, 34, 50, 66; second diff. 16, 16, 16 : Common difference in first difference is increasing in Arithmetic Progression : Quadratic.

D) First diff. = -7, -17, -27, -37. -47. Second diff. = 0. Common difference is the same, that is -10, in first difference. Linear.

Regarding B,

The first differences ought to be 3, 27, 243, 2187, 19683.
First difference = 24, 216, 1944, 17496. (Not 17676).
Second diff. = 9, 9, 9 :
The series is Exponential, in first difference.

Thanks much

I am glad i posted the questions i thought i was right!! ...

Thanks for correcting my answers

Regards

Dan