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 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 y-value 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 non-zero constant and the second differences are all zero, so the values are consistent with a linear relationship. By inspection, $y = 12x + 5$. b) The y-values and the first differences have a non-zero 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 non-zero constant, so the table is consistent with a quadratic relationship. By inspection, $y = 2x^2 - 3x + 5$. d) The first differences are a non-zero 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
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From: tornto

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Quote:
 Originally Posted by skipjack b) The second differences should be 216 - 24 = 192, 1944 - 216 = 1728, and 17496 - 1944 = 15552.
Thanks for correcting me.

Regards

Dan Tags difference, table Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post vs140580 LaTex Help 1 February 25th, 2017 07:53 PM Edd Elementary Math 3 December 13th, 2014 12:08 AM Pumaftw Elementary Math 14 November 13th, 2014 08:02 AM skavorn Advanced Statistics 6 March 5th, 2010 09:05 AM Stephanie7 Algebra 1 May 20th, 2009 09:00 AM

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