April 11th, 2019, 07:07 PM  #1 
Member Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0  table difference
Create table of differences like the following to determine whether each relationship is linear, quadratic, exponential, or neither. Justify the answer. Table image link: https://imgur.com/a/HZvINpp Please check whether my answers are right. Table a): Since the first and second differences are constant, it is a linear relationship. Table b): Since the ratio between yvalue is constant, it's an exponential relationship. Table c): Since the second differences are constant and the first differences are not constant, it's a quadratic relationship. Table d): Since the second differences are constant and the first difference are not constant, it's a quadratic relationship. Please check the answers. Also, please check the wording answers if better answer than my answer. Thanks much. Last edited by skipjack; April 12th, 2019 at 06:21 AM. 
April 12th, 2019, 06:58 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,757 Thanks: 2138 
a) The first differences are a nonzero constant and the second differences are all zero, so the values are consistent with a linear relationship. By inspection, $y = 12x + 5$. b) The yvalues and the first differences have a nonzero ratio. This is consistent with an exponential relationship. By inspection, $y = 3^x$. The second differences aren't shown (ratios being shown instead, although differences were asked for). c) The second differences are a nonzero constant, so the table is consistent with a quadratic relationship. By inspection, $y = 2x^2  3x + 5$. d) The first differences are a nonzero constant and the second differences are all zero, so the values are consistent with a linear relationship. By inspection, $y = 5x  2$. 
April 12th, 2019, 02:41 PM  #3 
Member Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0 
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. Regards Dan Last edited by yorkmanz; April 12th, 2019 at 02:55 PM. 
April 12th, 2019, 07:14 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,757 Thanks: 2138 
b) The second differences should be 216  24 = 192, 1944  216 = 1728, and 17496  1944 = 15552.

April 12th, 2019, 10:31 PM  #5 
Member Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0  

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